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Finding the Fourth Proportional to 9,891.76, 14,815.50 and 8,557.96

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Solution

The fourth proportional to 9,891.76, 14,815.50 and 8,557.96 is: 12,817.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,891.76 : 14,815.50 = 8,557.96 : x
  2. Step 2: Convert to fraction form
    9,891.76/14,815.50 = 8,557.96/x
  3. Step 3: Cross multiply
    9,891.76x = 14,815.50 × 8,557.96
  4. Step 4: Simplify right side
    9,891.76x = 126,790,456.38
  5. Step 5: Solve for x
    x = 126,790,456.38/9,891.76
  6. Step 6: Final answer
    x = 12,817.79

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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.