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Finding the Fourth Proportional to 10,591.41, 15,876.57 and 5,310.30

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Solution

The fourth proportional to 10,591.41, 15,876.57 and 5,310.30 is: 7,960.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,591.41 : 15,876.57 = 5,310.30 : x
  2. Step 2: Convert to fraction form
    10,591.41/15,876.57 = 5,310.30/x
  3. Step 3: Cross multiply
    10,591.41x = 15,876.57 × 5,310.30
  4. Step 4: Simplify right side
    10,591.41x = 84,309,349.67
  5. Step 5: Solve for x
    x = 84,309,349.67/10,591.41
  6. Step 6: Final answer
    x = 7,960.16

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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.