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Finding the Fourth Proportional to 10,591.20, 15,861.75 and 9,196.97

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Solution

The fourth proportional to 10,591.20, 15,861.75 and 9,196.97 is: 13,773.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,591.20 : 15,861.75 = 9,196.97 : x
  2. Step 2: Convert to fraction form
    10,591.20/15,861.75 = 9,196.97/x
  3. Step 3: Cross multiply
    10,591.20x = 15,861.75 × 9,196.97
  4. Step 4: Simplify right side
    10,591.20x = 145,879,976.83
  5. Step 5: Solve for x
    x = 145,879,976.83/10,591.20
  6. Step 6: Final answer
    x = 13,773.69

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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.