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Finding the Fourth Proportional to 9,221.92, 12,731.49 and 6,087.22

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Solution

The fourth proportional to 9,221.92, 12,731.49 and 6,087.22 is: 8,403.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,221.92 : 12,731.49 = 6,087.22 : x
  2. Step 2: Convert to fraction form
    9,221.92/12,731.49 = 6,087.22/x
  3. Step 3: Cross multiply
    9,221.92x = 12,731.49 × 6,087.22
  4. Step 4: Simplify right side
    9,221.92x = 77,499,348.73
  5. Step 5: Solve for x
    x = 77,499,348.73/9,221.92
  6. Step 6: Final answer
    x = 8,403.82

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