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Finding the Fourth Proportional to 3,871.28, 5,806.92 and 949.61

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Solution

The fourth proportional to 3,871.28, 5,806.92 and 949.61 is: 1,424.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871.28 : 5,806.92 = 949.61 : x
  2. Step 2: Convert to fraction form
    3,871.28/5,806.92 = 949.61/x
  3. Step 3: Cross multiply
    3,871.28x = 5,806.92 × 949.61
  4. Step 4: Simplify right side
    3,871.28x = 5,514,309.30
  5. Step 5: Solve for x
    x = 5,514,309.30/3,871.28
  6. Step 6: Final answer
    x = 1,424.42

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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.