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Finding the Fourth Proportional to 3,737.98, 5,606.50 and 1,546.42

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Solution

The fourth proportional to 3,737.98, 5,606.50 and 1,546.42 is: 2,319.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,737.98 : 5,606.50 = 1,546.42 : x
  2. Step 2: Convert to fraction form
    3,737.98/5,606.50 = 1,546.42/x
  3. Step 3: Cross multiply
    3,737.98x = 5,606.50 × 1,546.42
  4. Step 4: Simplify right side
    3,737.98x = 8,670,003.73
  5. Step 5: Solve for x
    x = 8,670,003.73/3,737.98
  6. Step 6: Final answer
    x = 2,319.44

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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.