Question

If 4, 7, x, x + 9 are in proportion. Find x.

Answer 1

Step-by-step explanation:

next is 10 and next is 13 so both the x is 10 and 13

Answer 2

Given - 4, 7, x, x + 9

Find - Value of x

Solution - Expressing the numbers mentioned in question in ratio and proportion form using colon -

4:7 = x:(x + 9)

Multiplying them we get -

4*(x + 9) = x*7

4x + 36 = 7x

Solving it further by substracting we get -

36 = 3x

Now, performing division to finally get the value of x.

x = 12

Hence, value of x in given question is 12.

Further validating the answer by keeping value of x in the expression.

4:7 = 12:(12+9)

4:7 = 12:21

Dividing RHS with 3

4:7 = 4:7.

Hence, value of x is correct.