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Finding the Fourth Proportional to 3,840.56, 5,757.10 and 1,241.72

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Solution

The fourth proportional to 3,840.56, 5,757.10 and 1,241.72 is: 1,861.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.56 : 5,757.10 = 1,241.72 : x
  2. Step 2: Convert to fraction form
    3,840.56/5,757.10 = 1,241.72/x
  3. Step 3: Cross multiply
    3,840.56x = 5,757.10 × 1,241.72
  4. Step 4: Simplify right side
    3,840.56x = 7,148,706.21
  5. Step 5: Solve for x
    x = 7,148,706.21/3,840.56
  6. Step 6: Final answer
    x = 1,861.37

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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.