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Finding the Fourth Proportional to 15,500, 21,390.48 and 8,876

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Solution

The fourth proportional to 15,500, 21,390.48 and 8,876 is: 12,249.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,500 : 21,390.48 = 8,876 : x
  2. Step 2: Convert to fraction form
    15,500/21,390.48 = 8,876/x
  3. Step 3: Cross multiply
    15,500x = 21,390.48 × 8,876
  4. Step 4: Simplify right side
    15,500x = 189,861,900.48
  5. Step 5: Solve for x
    x = 189,861,900.48/15,500
  6. Step 6: Final answer
    x = 12,249.15

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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.