Question

if 4,a,a,36 are in proportion then a=

Answer 1

=4:a::a:36
=4x36=aXa
=144=a^2
=a=√144
=12

Answer 2

If 4 , a , a , 36 are in proportion then a = 12

Given :

4 , a , a , 36 are in proportion

To find :

The value of a

Solution :

Step 1 of 2 :

Form the equation

Here it is given that 4 , a , a , 36 are in proportion

By the given condition

4 : a = a : 36

Step 2 of 2 :

Find the value of a

$\displaystyle \sf{ 4 : a = a : 36}$

$\displaystyle \sf{ \implies \frac{4}{a} = \frac{a}{36} }$

$\displaystyle \sf{ \implies {a}^{2} = 4 \times 36 }$

$\displaystyle \sf{ \implies {a}^{2} = 144 }$

$\displaystyle \sf{ \implies {a}^{2} = 12 {}^{2} }$

$\displaystyle \sf{ \implies a = 12 }$

If 4 , a , a , 36 are in proportion then a = 12

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