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Finding the Fourth Proportional to 3,871.73, 5,807.90 and 1,098.46

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Solution

The fourth proportional to 3,871.73, 5,807.90 and 1,098.46 is: 1,647.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871.73 : 5,807.90 = 1,098.46 : x
  2. Step 2: Convert to fraction form
    3,871.73/5,807.90 = 1,098.46/x
  3. Step 3: Cross multiply
    3,871.73x = 5,807.90 × 1,098.46
  4. Step 4: Simplify right side
    3,871.73x = 6,379,755.84
  5. Step 5: Solve for x
    x = 6,379,755.84/3,871.73
  6. Step 6: Final answer
    x = 1,647.78

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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.