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Finding the Fourth Proportional to 20,687.52, 31,032 and 5,105.28

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Solution

The fourth proportional to 20,687.52, 31,032 and 5,105.28 is: 7,658.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,687.52 : 31,032 = 5,105.28 : x
  2. Step 2: Convert to fraction form
    20,687.52/31,032 = 5,105.28/x
  3. Step 3: Cross multiply
    20,687.52x = 31,032 × 5,105.28
  4. Step 4: Simplify right side
    20,687.52x = 158,427,048.96
  5. Step 5: Solve for x
    x = 158,427,048.96/20,687.52
  6. Step 6: Final answer
    x = 7,658.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.