Question

Find the fourth proportional to 15,20,24

Answer 1

hey mate

this is the answer

let the fourth proportion be x

15:20::24:x

sum of extremes= sum of means

15x=20×24

15x= 480

x= 480/15

x= 32

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Answer 2

The fourth proportional to 15 , 20 and 24 is 32

Given :

The numbers 15 , 20 and 24

To find :

The fourth proportional to 15 , 20 and 24

Solution :

Step 1 of 2 :

Form the equation to find the number

Let x be the fourth proportional to 15 , 20 and 24

Then by the given condition

15 : 20 = 24 : x

Step 2 of 2 :

Find the number

Find the value of x

$\displaystyle \sf{ 15 : 20 = 24 : x }$

$\displaystyle \sf{ \implies \frac{15}{20} = \frac{24}{x} }$

$\displaystyle \sf{ \implies 15x = 20 \times 24}$

$\displaystyle \sf{ \implies x = \frac{20 \times 24}{15} }$

$\displaystyle \sf{ \implies x = 32 }$

Hence the fourth proportional to 15 , 20 and 24 is 32

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