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Finding the Fourth Proportional to 22,118, 33,142.16 and 15,447.92

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Solution

The fourth proportional to 22,118, 33,142.16 and 15,447.92 is: 23,147.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,118 : 33,142.16 = 15,447.92 : x
  2. Step 2: Convert to fraction form
    22,118/33,142.16 = 15,447.92/x
  3. Step 3: Cross multiply
    22,118x = 33,142.16 × 15,447.92
  4. Step 4: Simplify right side
    22,118x = 511,977,436.31
  5. Step 5: Solve for x
    x = 511,977,436.31/22,118
  6. Step 6: Final answer
    x = 23,147.55

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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.