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Finding the Fourth Proportional to 10,475.15, 15,668.78 and 9,687.83

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Solution

The fourth proportional to 10,475.15, 15,668.78 and 9,687.83 is: 14,491.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,475.15 : 15,668.78 = 9,687.83 : x
  2. Step 2: Convert to fraction form
    10,475.15/15,668.78 = 9,687.83/x
  3. Step 3: Cross multiply
    10,475.15x = 15,668.78 × 9,687.83
  4. Step 4: Simplify right side
    10,475.15x = 151,796,350.16
  5. Step 5: Solve for x
    x = 151,796,350.16/10,475.15
  6. Step 6: Final answer
    x = 14,491.10

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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.