Question

If 14,16, x and 24 are in proportion, then find the value of x.

Answer 1

Answer:

Step-by-step explanation:

If 14,16, x and 24 are in proportion,

Then product of means = product of extremes

14*24= 16*x

x = 14*24/16

x = 7*3

X = 21

Answer 2

The value of x = 21

Given :

14 , 16 , x and 24 are in proportion

To find :

The value of x

Solution :

Step 1 of 2 :

Form the equation

We are given that 14 , 16 , x and 24 are in proportion

Thus we get

14 : 16 = x : 24

Step 2 of 2 :

Find the value of x

$\displaystyle \sf{ }14 : 16 = x : 24$

$\displaystyle \sf{ \implies \frac{14}{16} = \frac{x}{24} }$

$\displaystyle \sf{ \implies 16x = 14 \times 24 }$

$\displaystyle \sf{ \implies x = \frac{14 \times 24}{16} }$

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

Hence the required value of x = 21

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