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Finding the Fourth Proportional to 20,003.90, 29,989.04 and 9,467.82

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Solution

The fourth proportional to 20,003.90, 29,989.04 and 9,467.82 is: 14,193.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,003.90 : 29,989.04 = 9,467.82 : x
  2. Step 2: Convert to fraction form
    20,003.90/29,989.04 = 9,467.82/x
  3. Step 3: Cross multiply
    20,003.90x = 29,989.04 × 9,467.82
  4. Step 4: Simplify right side
    20,003.90x = 283,930,785.35
  5. Step 5: Solve for x
    x = 283,930,785.35/20,003.90
  6. Step 6: Final answer
    x = 14,193.78

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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.