Marcellus is a photographer, and he wants to enlarge the picture below into a poster with a width of 24 inches. The original dimensions of the picture are a width of 11 inches and a height of 14 inches. What will be the height of the poster?

Poster and photograph with dimensions labeled

Drag the dimensions from the Dimensions Box onto the appropriate place in the proportion to determine the height of the poster.

Interactive exercise. Assistance may be required.

Now that you have correctly identified the proportion, solve for x and calculate the height of the poster. Round your answer to the nearest 0.1.

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30.5 inchesClose Pop Up

Practice

  1. To estimate the height of a pagoda, Shoji placed a mirror along the ground 15.7 meters from the base of the pagoda.

    2. Pagoda with triangles and dimensions labeled.”

    Shoji is 1.6 meters tall, and stood 0.5 meters from the mirror. To the nearest meter, about how tall is the pagoda?

    Interactive popup. Assistance may be required. Hint

    Set up and solve a proportion.Close Pop Up

    Interactive popup. Assistance may be required. Check Your Answer

    50 metersClose Pop Up
  2. A pyramid that is used for the 8th grade dance is 10 feet tall and has a base length of 16 1 over 2 1 2  feet. Tabletop decorations will be created that are similar to the large pyramid and have a base length of 9 inches.

    3. Pyramid with dimensions labeled.

What is the height of the tabletop decorations?

Interactive popup. Assistance may be required. Hint

Make sure that your units are the same (either both feet or both inches), and set up and solve a proportion.Close Pop Up

Interactive popup. Assistance may be required. Check Your Answer

5 over 11 5 11 feet ≈ 5.5 inches Close Pop Up