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Finding the Fourth Proportional to 3,874.72, 5,812.48 and 1,241.30

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Solution

The fourth proportional to 3,874.72, 5,812.48 and 1,241.30 is: 1,862.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.72 : 5,812.48 = 1,241.30 : x
  2. Step 2: Convert to fraction form
    3,874.72/5,812.48 = 1,241.30/x
  3. Step 3: Cross multiply
    3,874.72x = 5,812.48 × 1,241.30
  4. Step 4: Simplify right side
    3,874.72x = 7,215,031.42
  5. Step 5: Solve for x
    x = 7,215,031.42/3,874.72
  6. Step 6: Final answer
    x = 1,862.08

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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.