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Finding the Fourth Proportional to 3,937.96, 5,907.42 and 1,631.08

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Solution

The fourth proportional to 3,937.96, 5,907.42 and 1,631.08 is: 2,446.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,937.96 : 5,907.42 = 1,631.08 : x
  2. Step 2: Convert to fraction form
    3,937.96/5,907.42 = 1,631.08/x
  3. Step 3: Cross multiply
    3,937.96x = 5,907.42 × 1,631.08
  4. Step 4: Simplify right side
    3,937.96x = 9,635,474.61
  5. Step 5: Solve for x
    x = 9,635,474.61/3,937.96
  6. Step 6: Final answer
    x = 2,446.82

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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.