Proportion Calculator

Solve proportions of the form A/B = C/D by entering any three values and leaving one blank.

Proportion Calculator

Solve proportions of the form A/B = C/D by entering any three values and leaving one blank.

Please enter a valid value.

Please enter a valid value.

Please enter a valid value.

Please enter a valid value.

Result

How to use the Proportion Calculator

  1. Enter three of the four values (A, B, C, D).
  2. Leave exactly one field blank for the calculator to solve.
  3. Click Calculate.

Formula

A/B = C/D
Solving for D: D = BC/A
Solving for A: A = BD/C

Example

If 3/8 = x/40, then x = 3×40/8 = 15.

Step-by-step calculation

  1. Cross-multiply: 3 × 40 = 120.
  2. Divide by the remaining denominator: 120 ÷ 8 = 15.
  3. Answer: x = 15.

Real-world uses

  • Scaling recipes up or down.
  • Unit conversion ratios.
  • Map scale calculations.
  • Recipe and mixture scaling.

Common mistakes

  • Leaving more than one field blank.
  • Placing the unknown in the wrong position.
  • Using zero in a denominator position.

Frequently asked questions

Can I enter all four values?
Yes. The calculator will verify whether the proportion holds true.
What does "cross multiplication" mean?
Multiply A×D and B×C. If the proportion is correct, both products are equal.
Can I use negative numbers?
Yes, but be aware that negative ratios in proportions may not represent real-world scenarios.

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