What number must be added to each of the numbers 5, 9, 17, 27 to make the new numbers in proportion?

Question

Philoid · Accepted Answer

Let the number added to each of the numbers to make them in proportion be x

When any four numbers (a, b, c, d)are in proportion then

Applying the above equation for our problem we get

⇒ (5 + x)(27 + x) = (17 + x)(9 + x)

⇒ 135 + 32x + x² = 153 + 26x + x²

⇒ 6x = 18

The number added should be 3