Question

What number should be added to each
of the numbers 3,5, 13 and 19 so that
the resulting numbers may
be in proportion?​

Answer 1

Step-by-step explanation:

x=2 this no. should be added in proportion

Answer 2

Answer:

2 should be added to each

Step-by-step explanation:

Let the number be x

I suppose that the meaning of the question could be explained by this equation.

(3+x)(5+x)=(13+x)(19+x )

By doing criss-cross

(3+x)×(19+x)=(5+x)×(13+x)

57+22x+x²=65+18x+x²

Get the like terms together

22x−18x+x²−x²=65–57

Simplify

4x=8

x=2

Let's check our answer.

3+2=5 5+2=7 13+2=15 19+2=21

15/21 = 5/7

The answer is 2