Home / 1,120.10-1,542.38-923.28

Finding the Fourth Proportional to 1,120.10, 1,542.38 and 923.28

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Solution

The fourth proportional to 1,120.10, 1,542.38 and 923.28 is: 1,271.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.10 : 1,542.38 = 923.28 : x
  2. Step 2: Convert to fraction form
    1,120.10/1,542.38 = 923.28/x
  3. Step 3: Cross multiply
    1,120.10x = 1,542.38 × 923.28
  4. Step 4: Simplify right side
    1,120.10x = 1,424,048.61
  5. Step 5: Solve for x
    x = 1,424,048.61/1,120.10
  6. Step 6: Final answer
    x = 1,271.36

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.