Proportion Calculator

A proportion says two ratios are equal. If you know three of the four numbers, cross multiplication gives the fourth: the unitary method or rule of three taught in school.

Results update as you type.

D

20

3 : 4 = 15 : 20

About this calculator

Leave D empty to solve for it, or fill all four to check.

How to use it

  1. Enter A, B and C.
  2. Leave D empty to solve, or enter it to check.
  3. Read the result.

The formula

A ÷ B = C ÷ D, so D = B × C ÷ A
cross products
A × D and B × C are equal in a proportion

Worked example

3 pens cost ₹4… or 3 : 4 = 15 : D

  1. D = 4 × 15 ÷ 3 = 20.
  2. So 3 : 4 = 15 : 20.

What the result means

For inverse proportion (more workers, fewer days), multiply instead: A × B = C × D.

Assumptions

  • Direct proportion.

Limitations

  • A cannot be zero when solving for D.

Frequently asked questions

What is the rule of three?

Solving a proportion by cross multiplication.

How do I check a proportion?

The two cross products must be equal.

What is inverse proportion?

When one quantity rises as the other falls, so their product stays the same.

Last reviewed on 3 October 2026. Found a mistake? Tell us.