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Finding the Fourth Proportional to 3,986.80, 5,502.42 and 2,871.46

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Solution

The fourth proportional to 3,986.80, 5,502.42 and 2,871.46 is: 3,963.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,986.80 : 5,502.42 = 2,871.46 : x
  2. Step 2: Convert to fraction form
    3,986.80/5,502.42 = 2,871.46/x
  3. Step 3: Cross multiply
    3,986.80x = 5,502.42 × 2,871.46
  4. Step 4: Simplify right side
    3,986.80x = 15,799,978.93
  5. Step 5: Solve for x
    x = 15,799,978.93/3,986.80
  6. Step 6: Final answer
    x = 3,963.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.