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Finding the Fourth Proportional to 3,874.52, 5,812.20 and 1,241.09

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Solution

The fourth proportional to 3,874.52, 5,812.20 and 1,241.09 is: 1,861.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.52 : 5,812.20 = 1,241.09 : x
  2. Step 2: Convert to fraction form
    3,874.52/5,812.20 = 1,241.09/x
  3. Step 3: Cross multiply
    3,874.52x = 5,812.20 × 1,241.09
  4. Step 4: Simplify right side
    3,874.52x = 7,213,463.30
  5. Step 5: Solve for x
    x = 7,213,463.30/3,874.52
  6. Step 6: Final answer
    x = 1,861.77

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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.