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Finding the Fourth Proportional to 3,648.79, 5,472.92 and 1,427.21

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Solution

The fourth proportional to 3,648.79, 5,472.92 and 1,427.21 is: 2,140.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,648.79 : 5,472.92 = 1,427.21 : x
  2. Step 2: Convert to fraction form
    3,648.79/5,472.92 = 1,427.21/x
  3. Step 3: Cross multiply
    3,648.79x = 5,472.92 × 1,427.21
  4. Step 4: Simplify right side
    3,648.79x = 7,811,006.15
  5. Step 5: Solve for x
    x = 7,811,006.15/3,648.79
  6. Step 6: Final answer
    x = 2,140.71

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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.