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Finding the Fourth Proportional to 3,651.52, 5,472.68 and 2,092.80

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Solution

The fourth proportional to 3,651.52, 5,472.68 and 2,092.80 is: 3,136.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,651.52 : 5,472.68 = 2,092.80 : x
  2. Step 2: Convert to fraction form
    3,651.52/5,472.68 = 2,092.80/x
  3. Step 3: Cross multiply
    3,651.52x = 5,472.68 × 2,092.80
  4. Step 4: Simplify right side
    3,651.52x = 11,453,224.70
  5. Step 5: Solve for x
    x = 11,453,224.70/3,651.52
  6. Step 6: Final answer
    x = 3,136.56

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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.