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Finding the Fourth Proportional to 15,811.86, 21,819.50 and 8,737.82

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Solution

The fourth proportional to 15,811.86, 21,819.50 and 8,737.82 is: 12,057.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,811.86 : 21,819.50 = 8,737.82 : x
  2. Step 2: Convert to fraction form
    15,811.86/21,819.50 = 8,737.82/x
  3. Step 3: Cross multiply
    15,811.86x = 21,819.50 × 8,737.82
  4. Step 4: Simplify right side
    15,811.86x = 190,654,863.49
  5. Step 5: Solve for x
    x = 190,654,863.49/15,811.86
  6. Step 6: Final answer
    x = 12,057.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.