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Finding the Fourth Proportional to 10,437.76, 15,658.84 and 3,864

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Solution

The fourth proportional to 10,437.76, 15,658.84 and 3,864 is: 5,796.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,437.76 : 15,658.84 = 3,864 : x
  2. Step 2: Convert to fraction form
    10,437.76/15,658.84 = 3,864/x
  3. Step 3: Cross multiply
    10,437.76x = 15,658.84 × 3,864
  4. Step 4: Simplify right side
    10,437.76x = 60,505,757.76
  5. Step 5: Solve for x
    x = 60,505,757.76/10,437.76
  6. Step 6: Final answer
    x = 5,796.81

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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.