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Finding the Fourth Proportional to 2,732.41, 3,770.78 and 1,553.52

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Solution

The fourth proportional to 2,732.41, 3,770.78 and 1,553.52 is: 2,143.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,732.41 : 3,770.78 = 1,553.52 : x
  2. Step 2: Convert to fraction form
    2,732.41/3,770.78 = 1,553.52/x
  3. Step 3: Cross multiply
    2,732.41x = 3,770.78 × 1,553.52
  4. Step 4: Simplify right side
    2,732.41x = 5,857,974.38
  5. Step 5: Solve for x
    x = 5,857,974.38/2,732.41
  6. Step 6: Final answer
    x = 2,143.89

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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.