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Finding the Fourth Proportional to 3,871.68, 5,806.61 and 1,372.65

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Solution

The fourth proportional to 3,871.68, 5,806.61 and 1,372.65 is: 2,058.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871.68 : 5,806.61 = 1,372.65 : x
  2. Step 2: Convert to fraction form
    3,871.68/5,806.61 = 1,372.65/x
  3. Step 3: Cross multiply
    3,871.68x = 5,806.61 × 1,372.65
  4. Step 4: Simplify right side
    3,871.68x = 7,970,472.58
  5. Step 5: Solve for x
    x = 7,970,472.58/3,871.68
  6. Step 6: Final answer
    x = 2,058.66

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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.