Solve the Proportion x/6 = 4/8 (Answer: x = 3)

Exact Answer

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Problem: Solve the Proportion x/6 = 4/8
Formula / Expression: x/6 = 4/8 → x = 3
Final Answer: x = 3
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Step-by-Step Solution:

Step 1: Set Up the Proportion Equation
Write the proportion equating the two ratios:
x / 6 = 4 / 8
Working: x/6 = 4/8

Step 2: Apply the Cross-Multiplication Property
In any true proportion A/B = C/D, the cross products are always equal: A × D = B × C.
Multiplying diagonally: (x) × (8) = (6) × (4).
Working: (x) × (8) = (6) × (4)

Step 3: Isolate the Unknown Variable x
Combine known numbers to obtain a simple one-step linear equation:
8 × x = 24.
Working: 8x = 24

Step 4: Divide to Solve for x
Divide both sides of the equation by 8:
x = 24 ÷ 8 = 3.
Working: x = 24 / 8 = 3

Step 5: Verify Proportion and Scale Multiplier
Check your work: Substituting x = 3 gives both fractions a ratio of 1.3333x. Both fractions evaluate to the exact same value, confirming the solution is 100% correct.
Working: Check: (3 ÷ 6) = (4 ÷ 8)

Key Values:
- Solved Value (x): x = 3
- Equation: x/6 = 4/8
- Cross Product: 24
- Scale Multiplier: 1.3333x

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Solved with FractionsCalc:
https://fractionscalc.com/solve-proportion-x-6-equals-4-8/
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x6 = 48 → x = 3

Solved Value (x)

x = 3

Equation

x/6 = 4/8

Cross Product

Scale Multiplier

1.3333x

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Step-by-Step Solution: x/6 = 4/8 → x = 3

Step 1

Set Up the Proportion Equation

Write the proportion equating the two ratios:
x / 6 = 4 / 8

x/6 = 4/8

Step 2

Apply the Cross-Multiplication Property

In any true proportion A/B = C/D, the cross products are always equal: A × D = B × C.
Multiplying diagonally: (x) × (8) = (6) × (4).

(x) × (8) = (6) × (4)

Step 3

Isolate the Unknown Variable x

Combine known numbers to obtain a simple one-step linear equation:
8 × x = 24.

8x = 24

Step 4

Divide to Solve for x

Divide both sides of the equation by 8:
x = 24 ÷ 8 = 3.

x = 24 / 8 = 3

Step 5

Verify Proportion and Scale Multiplier

Check your work: Substituting x = 3 gives both fractions a ratio of 1.3333x. Both fractions evaluate to the exact same value, confirming the solution is 100% correct.

Check: (3 ÷ 6) = (4 ÷ 8)

Visual Representation

The diagram below illustrates Solve proportion x/6 = 4/8 visually:

Summary & Alternative Representations

Property / Format	Value
Solved Value (x)	`x = 3`
Equation	`x/6 = 4/8`
Cross Product	`24`
Scale Multiplier	`1.3333x`

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Frequently Asked Questions

How do you solve for x in the proportion x/6 = 4/8?

Cross-multiply diagonally: multiply the known diagonal pair (6 × 4 = 24) and then divide by the coefficient paired with x (8), resulting in x = 3.

What is the cross multiplication rule for proportions?

For any proportion A/B = C/D, the product of the extremes (A × D) is always equal to the product of the means (B × C).

Can a proportion have decimal answers?

Yes! If the cross-product is not evenly divisible by the coefficient, the result can be written as an exact decimal or as a simplified fraction / mixed number.