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Finding the Fourth Proportional to 10,906.97, 16,365.31 and 5,711.63

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Solution

The fourth proportional to 10,906.97, 16,365.31 and 5,711.63 is: 8,569.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,906.97 : 16,365.31 = 5,711.63 : x
  2. Step 2: Convert to fraction form
    10,906.97/16,365.31 = 5,711.63/x
  3. Step 3: Cross multiply
    10,906.97x = 16,365.31 × 5,711.63
  4. Step 4: Simplify right side
    10,906.97x = 93,472,499.45
  5. Step 5: Solve for x
    x = 93,472,499.45/10,906.97
  6. Step 6: Final answer
    x = 8,569.98

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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.