Question

determine if the following are in proportion a 15,45,40,120

Answer 1

Hope u get ur ans...

Answer 2

★ $\textsf{\large{Answer :}}$

15:45: :40:120 are in proportion.

★ $\textsf{\large{Explaination :}}$

To check if the given numbers are in proportion or not , there is a formula :

$\textsf{\large{15:45: :40:120}}$

→ $\textbf{Mean terms : }$45 and 40

→ $\textbf{Extreme terms :}$ 15 and 120

$\tt{\large{\rightarrow Mean \times Mean = Extreme \times Extreme}}$

$\textsf{\large{LHS =}}$

$\tt{\large{\rightarrow 45 \times 40}}$

$\tt{\large{\rightarrow 1800}}$

$\textsf{\large{RHS =}}$

$\tt{\large{\rightarrow 15 \times 120}}$

$\tt{\large{\rightarrow1800 }}$

$\therefore{\tt LHS= RHS}$

$\therefore$They are in proportion.

$\textsf{\large{METHOD 2}}$

$\tt{\large{\rightarrow Mean \times Mean = Extreme \times Extreme}}$

$\tt{\large{\rightarrow 45 \times 40 = 15 \times 120}}$

$\tt{\large{\rightarrow 1800 = 1800}}$

$\therefore{\tt{They \: are \: in \: proportion.}}$