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Finding the Fourth Proportional to 42,472.92, 63,709.53 and 12,891

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Solution

The fourth proportional to 42,472.92, 63,709.53 and 12,891 is: 19,336.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,472.92 : 63,709.53 = 12,891 : x
  2. Step 2: Convert to fraction form
    42,472.92/63,709.53 = 12,891/x
  3. Step 3: Cross multiply
    42,472.92x = 63,709.53 × 12,891
  4. Step 4: Simplify right side
    42,472.92x = 821,279,551.23
  5. Step 5: Solve for x
    x = 821,279,551.23/42,472.92
  6. Step 6: Final answer
    x = 19,336.55

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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.