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Finding the Fourth Proportional to 12,572.52, 18,855.90 and 5,649

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Solution

The fourth proportional to 12,572.52, 18,855.90 and 5,649 is: 8,472.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,572.52 : 18,855.90 = 5,649 : x
  2. Step 2: Convert to fraction form
    12,572.52/18,855.90 = 5,649/x
  3. Step 3: Cross multiply
    12,572.52x = 18,855.90 × 5,649
  4. Step 4: Simplify right side
    12,572.52x = 106,516,979.10
  5. Step 5: Solve for x
    x = 106,516,979.10/12,572.52
  6. Step 6: Final answer
    x = 8,472.21

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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.