Inverse Variation Calculator

Find the constant k in y = k/x and predict a new y.

Constant k 24

New y 3

Formula: k = x · y ; y₂ = k ÷ x₂

Step-by-step with your numbers:

1. Values used:

2. Known x = 4

3. Known y = 6

4. New x = 8

6. Constant k = Known x x Known y = 4 x 6 = 24

7. Known x x Known y = 4 x 6 = 24

8. New y = (Known x x Known y) / New x = 24 / 8 = 3

Did we solve your problem today?

Inverse variation describes quantities whose product is constant: y = k/x.

The math behind it

The constant is k = x · y. For a new x, the new y is k ÷ x — so doubling x halves y.

y = 6 when x = 4 → k = 24, so at x = 8, y = 3.

What stays constant?

The product x · y stays equal to k for every pair.