Question

the first three proportions are 12 15 and 8 respectively the fourth term is called​

Answer 1

Answer:

The fourth proportional is 10

12:15::8:10

Step-by-step explanation:

let the fourth proportional be x

12:15::8:x

12x = 15*8

12x = 120

x = 120/12

x = 10

Answer 2

Given :

• 12 : 15 : : 8 : x

To find :

• We have to find the value of x

Solution :

To find the value of x first we will have to write the following numbers in Proportion like this :- 12 : 15 : : 8 : x then, we will write it in Fraction form so that we can do the cross multiplication and after doing cross multiplication we will get the value of x

So let's solve!

$: \implies \: \dfrac{12}{15} \nearrow \searrow \sf\dfrac{8}{x} \: \: \: \: \: \: \: \: \: \: \: \: \: \\\\\\\ : \implies \sf \dfrac{\cancel {15}^{(5)} \times 8}{{ \cancel {12}^{(4)} }} \: \mapsto \: \dfrac{5 \times 8}{4} \: \: \: \: \: \: \: \: \: \: \: \: \: \\\\\\\\\ : \implies \: \dfrac{5 \times { \cancel {8}^{(2)} }}{{ \cancel {4}^{(1)} }} \mapsto \dfrac{5 \times 2}{1} \\\\\\\\\ : \implies 5 \times 2 \leadsto \: 10 \: \: \\\\\\\\\ : \implies \: 12 \: : \: 15: \: : \: 8 \: : \: 10\: \\\\\\\\\ : \implies \: { \underline{ \boxed{ \pink{ \mathfrak{x \leadsto 10}}}}}$

Now, we have taken out the answer but to verify that our answer is correct or not we will do Verified step also

Verification :

$: \implies \: \dfrac{12}{15} = \dfrac{8}{10} \: \: \: \: \\\\\\\ : \implies \: \dfrac{{ \cancel12}}{{ \cancel15}} \: \leadsto\dfrac{4}{5} = \dfrac{{ \cancel8}}{{ \cancel 10}} \: \leadsto \: \dfrac{4}{5} \: \: \: \: \: \: \\\\\\\ : \implies \: { \underline{ \boxed{ \pink{ \mathfrak{both \: are \: equal \: = }}}}}$

I have divided $\dfrac{12}{15}$ by 3 because 4 $\times$ 3 = 12 and 5 $\times$ 3 = 15 , and I have divided $\dfrac{8}{10}$ by 2 because 4 $\times$ 2 = 8 and 5 $\times$ 2 = 10

•°• Hence, verified! that the fourth term is 10 therefore it is written as 12 : 15 : :8 : 10

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