Q. 1.     Determine if the following are in proportion.

             (a)  15,45,40,120

             (b)  33,121,9,96

             (c)  24,28,36,48

             (d)  32,48,70,210

             (e)  4,6,8,12

             (f)  33,44,75,100

Answers (1)
P Pankaj Sanodiya

(a)  15,45,40,120

\frac{15}{45}=\frac{1}{3}........(1)

\frac{40}{120}=\frac{1}{3}........(2)

Since (1) and (2) are equal, Yes they are in proportion.            

 (b)  33,121,9,96

  \frac{33}{121}=\frac{3}{11}........(1)

  \frac{9}{96}=\frac{3}{32}........(2)     

Since (1) and (2) are not equal, No they are not in proportion.

(c)  24,28,36,48

 \frac{24}{28}=\frac{6}{7}........(1)

\frac{36}{48}=\frac{3}{4}........(2)

   Since (1) and (2) are not equal, No they are not in proportion.      

(d)  32,48,70,210

\frac{32}{48}=\frac{2}{3}........(1)

\frac{70}{210}=\frac{1}{3}........(2)

Since (1) and (2) are not equal, No they are not in proportion.

  (e)  4,6,8,12

     \frac{4}{6}=\frac{2}{3}........(1)

     \frac{8}{12}=\frac{2}{3}........(2)

Since (1) and (2) are equal, Yes they are in proportion.   

(f)  33,44,75,100

\frac{33}{44}=\frac{3}{4}........(1)

\frac{75}{100}=\frac{3}{4}........(2)

Since (1) and (2) are equal, Yes they are in proportion.   

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