Question

If 3,4,x,8 are in proportion, then find value of x.

Answer 1

Answer:

3:4=x:8

3/4=x/8

3×8=4 ×x

24=4x

24/4=x

6=x

Answer 2

The value of x when 3, 4, x, 8 are in proportion is 6.

• Given that the numbers 3, 4, x, 8 are in proportion

               ⇒ 3:4 = x:8

               ⇒ Product of means = product of extremes

• Here 4, x are called as means and 3, 8 are the extremes.

               ⇒ 4x = (3)(8)

               ⇒ x = (3)(2)

               ⇒ x = 6

∴ The value of x is 6