Question

What number should be added to each of the numbers 3, 4, 12 and 14 so that the numbers are in proportion?​

Answer 1

Answer:

6 is added in 3, 4, 12 and 14.

So we get,

Four proportional number is 9, 10, 18, 20.

Step-by-step explanation:

Let 'x' be the number for add in given numbers to get four proportional terms.

$\frac{3 + x}{4 + x} = \frac{12 + x}{14 + x}$

(3+x)(14+x) = (12+x)(4+x)

3(14+x) + x(14+x) = 12(4+x) + x(4+x)

42 + 3x + 14x + x² = 48 + 12x + 4x + x²

42 + 17x = 48 + 16x

17x - 16x = 48 - 42

x = 6

:. (3 + x) = 3 + 6 = 9

(4 + x) = 4 + 6 = 10

(12 + x) = 12 + 6 = 18

(14 + x) = 14 + 6 = 20