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Finding the Fourth Proportional to 8,200.92, 12,295.42 and 3,269.08

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Solution

The fourth proportional to 8,200.92, 12,295.42 and 3,269.08 is: 4,901.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200.92 : 12,295.42 = 3,269.08 : x
  2. Step 2: Convert to fraction form
    8,200.92/12,295.42 = 3,269.08/x
  3. Step 3: Cross multiply
    8,200.92x = 12,295.42 × 3,269.08
  4. Step 4: Simplify right side
    8,200.92x = 40,194,711.61
  5. Step 5: Solve for x
    x = 40,194,711.61/8,200.92
  6. Step 6: Final answer
    x = 4,901.24

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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.