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Finding the Fourth Proportional to 8,231.92, 12,355.07 and 7,296.99

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Solution

The fourth proportional to 8,231.92, 12,355.07 and 7,296.99 is: 10,951.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,231.92 : 12,355.07 = 7,296.99 : x
  2. Step 2: Convert to fraction form
    8,231.92/12,355.07 = 7,296.99/x
  3. Step 3: Cross multiply
    8,231.92x = 12,355.07 × 7,296.99
  4. Step 4: Simplify right side
    8,231.92x = 90,154,822.24
  5. Step 5: Solve for x
    x = 90,154,822.24/8,231.92
  6. Step 6: Final answer
    x = 10,951.86

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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.