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Finding the Fourth Proportional to 20,493.66, 30,747.78 and 8,650.38

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Solution

The fourth proportional to 20,493.66, 30,747.78 and 8,650.38 is: 12,978.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,493.66 : 30,747.78 = 8,650.38 : x
  2. Step 2: Convert to fraction form
    20,493.66/30,747.78 = 8,650.38/x
  3. Step 3: Cross multiply
    20,493.66x = 30,747.78 × 8,650.38
  4. Step 4: Simplify right side
    20,493.66x = 265,979,981.16
  5. Step 5: Solve for x
    x = 265,979,981.16/20,493.66
  6. Step 6: Final answer
    x = 12,978.65

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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.