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Finding the Fourth Proportional to 11,230.20, 15,500.76 and 6,516

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Solution

The fourth proportional to 11,230.20, 15,500.76 and 6,516 is: 8,993.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,230.20 : 15,500.76 = 6,516 : x
  2. Step 2: Convert to fraction form
    11,230.20/15,500.76 = 6,516/x
  3. Step 3: Cross multiply
    11,230.20x = 15,500.76 × 6,516
  4. Step 4: Simplify right side
    11,230.20x = 101,002,952.16
  5. Step 5: Solve for x
    x = 101,002,952.16/11,230.20
  6. Step 6: Final answer
    x = 8,993.87

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Why These Related Problems?

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