# Another ratio problem..

• Dec 6th 2007, 03:36 PM
Chris895
Another ratio problem..
Solve the following proportion for the unkown quantities:

a : 58 : 132 = 38 : 27 : b

Just a little confused...any help would be appreciated.
• Dec 6th 2007, 04:20 PM
Soroban
Hello, Chris!

Quote:

Solve the following proportion for the unkown quantities:

. . $a : 58 : 132 \:= \:38 : 27 : b$

Take them in pairs . . .

. . $a:58 \:=\:38:27\quad\Rightarrow\quad\frac{a}{58} \:=\:\frac{38}{27}\quad\Rightarrow\quad a \:=\:\frac{2204}{27}$

. . $58:132 \:=\:27:b\quad\Rightarrow\quad \frac{58}{132}\:=\:\frac{27}{b}\quad\Rightarrow\qu ad b \:=\:\frac{1782}{29}$