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Finding the Fourth Proportional to 22,177.85, 33,270.82 and 13,402.31

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Solution

The fourth proportional to 22,177.85, 33,270.82 and 13,402.31 is: 20,105.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,177.85 : 33,270.82 = 13,402.31 : x
  2. Step 2: Convert to fraction form
    22,177.85/33,270.82 = 13,402.31/x
  3. Step 3: Cross multiply
    22,177.85x = 33,270.82 × 13,402.31
  4. Step 4: Simplify right side
    22,177.85x = 445,905,643.73
  5. Step 5: Solve for x
    x = 445,905,643.73/22,177.85
  6. Step 6: Final answer
    x = 20,105.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.