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Finding the Fourth Proportional to 2,049.38, 3,072.22 and 750.55

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Solution

The fourth proportional to 2,049.38, 3,072.22 and 750.55 is: 1,125.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.38 : 3,072.22 = 750.55 : x
  2. Step 2: Convert to fraction form
    2,049.38/3,072.22 = 750.55/x
  3. Step 3: Cross multiply
    2,049.38x = 3,072.22 × 750.55
  4. Step 4: Simplify right side
    2,049.38x = 2,305,854.72
  5. Step 5: Solve for x
    x = 2,305,854.72/2,049.38
  6. Step 6: Final answer
    x = 1,125.15

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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.