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Finding the Fourth Proportional to 11,866.97, 16,375.92 and 6,489.32

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Solution

The fourth proportional to 11,866.97, 16,375.92 and 6,489.32 is: 8,954.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,866.97 : 16,375.92 = 6,489.32 : x
  2. Step 2: Convert to fraction form
    11,866.97/16,375.92 = 6,489.32/x
  3. Step 3: Cross multiply
    11,866.97x = 16,375.92 × 6,489.32
  4. Step 4: Simplify right side
    11,866.97x = 106,268,503.29
  5. Step 5: Solve for x
    x = 106,268,503.29/11,866.97
  6. Step 6: Final answer
    x = 8,954.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.