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Determine if the following are in proportion. (a) 15, 45, 40, 120

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)
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(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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