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Finding the Fourth Proportional to 3,986.15, 5,966.87 and 3,395.66

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Solution

The fourth proportional to 3,986.15, 5,966.87 and 3,395.66 is: 5,082.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,986.15 : 5,966.87 = 3,395.66 : x
  2. Step 2: Convert to fraction form
    3,986.15/5,966.87 = 3,395.66/x
  3. Step 3: Cross multiply
    3,986.15x = 5,966.87 × 3,395.66
  4. Step 4: Simplify right side
    3,986.15x = 20,261,414.97
  5. Step 5: Solve for x
    x = 20,261,414.97/3,986.15
  6. Step 6: Final answer
    x = 5,082.96

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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.