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Finding the Fourth Proportional to 11,866.88, 16,375.82 and 6,489.20

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Solution

The fourth proportional to 11,866.88, 16,375.82 and 6,489.20 is: 8,954.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,866.88 : 16,375.82 = 6,489.20 : x
  2. Step 2: Convert to fraction form
    11,866.88/16,375.82 = 6,489.20/x
  3. Step 3: Cross multiply
    11,866.88x = 16,375.82 × 6,489.20
  4. Step 4: Simplify right side
    11,866.88x = 106,265,856.82
  5. Step 5: Solve for x
    x = 106,265,856.82/11,866.88
  6. Step 6: Final answer
    x = 8,954.83

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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.