Question

The fourth proportional to 12,14 and 18 is

Answer 1

The fourth proportional to 12 , 14 and 18 is 21

Given :

The numbers 12 , 14 and 18

To find :

The fourth proportional to 12 , 14 and 18

Solution :

Step 1 of 2 :

Form the equation to find the number

Let x be the fourth proportional to 12 , 14 and 18

Then by the given condition

$\displaystyle \sf{ 12 : 14 = 18 : x }$

Step 2 of 2 :

Find the number

Find the value of x

$\displaystyle \sf{ 12 : 14 = 18 : x }$

$\displaystyle \sf{ \implies \frac{12}{14} = \frac{18}{x} }$

$\displaystyle \sf{ \implies 12x = 14 \times 18}$

$\displaystyle \sf{ \implies x = \frac{14 \times 18}{12} }$

$\displaystyle \sf{ \implies x = \frac{252}{12} }$

$\displaystyle \sf{ \implies x = 21 }$

Hence the fourth proportional to 12 , 14 and 18 is 21

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