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Finding the Fourth Proportional to 28,514, 42,773.39 and 10,507.13

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Solution

The fourth proportional to 28,514, 42,773.39 and 10,507.13 is: 15,761.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,514 : 42,773.39 = 10,507.13 : x
  2. Step 2: Convert to fraction form
    28,514/42,773.39 = 10,507.13/x
  3. Step 3: Cross multiply
    28,514x = 42,773.39 × 10,507.13
  4. Step 4: Simplify right side
    28,514x = 449,425,569.27
  5. Step 5: Solve for x
    x = 449,425,569.27/28,514
  6. Step 6: Final answer
    x = 15,761.58

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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.