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Finding the Fourth Proportional to 2,722.76, 3,757.49 and 1,543.85

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Solution

The fourth proportional to 2,722.76, 3,757.49 and 1,543.85 is: 2,130.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,722.76 : 3,757.49 = 1,543.85 : x
  2. Step 2: Convert to fraction form
    2,722.76/3,757.49 = 1,543.85/x
  3. Step 3: Cross multiply
    2,722.76x = 3,757.49 × 1,543.85
  4. Step 4: Simplify right side
    2,722.76x = 5,801,000.94
  5. Step 5: Solve for x
    x = 5,801,000.94/2,722.76
  6. Step 6: Final answer
    x = 2,130.56

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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.