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Finding the Fourth Proportional to 42,389, 63,594.84 and 14,687

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Solution

The fourth proportional to 42,389, 63,594.84 and 14,687 is: 22,034.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,389 : 63,594.84 = 14,687 : x
  2. Step 2: Convert to fraction form
    42,389/63,594.84 = 14,687/x
  3. Step 3: Cross multiply
    42,389x = 63,594.84 × 14,687
  4. Step 4: Simplify right side
    42,389x = 934,017,415.08
  5. Step 5: Solve for x
    x = 934,017,415.08/42,389
  6. Step 6: Final answer
    x = 22,034.43

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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.