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Finding the Fourth Proportional to 10,663.65, 15,997.10 and 5,115.96

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Solution

The fourth proportional to 10,663.65, 15,997.10 and 5,115.96 is: 7,674.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,663.65 : 15,997.10 = 5,115.96 : x
  2. Step 2: Convert to fraction form
    10,663.65/15,997.10 = 5,115.96/x
  3. Step 3: Cross multiply
    10,663.65x = 15,997.10 × 5,115.96
  4. Step 4: Simplify right side
    10,663.65x = 81,840,498.14
  5. Step 5: Solve for x
    x = 81,840,498.14/10,663.65
  6. Step 6: Final answer
    x = 7,674.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.