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Finding the Fourth Proportional to 2,722.78, 3,757.60 and 1,543.78

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Solution

The fourth proportional to 2,722.78, 3,757.60 and 1,543.78 is: 2,130.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,722.78 : 3,757.60 = 1,543.78 : x
  2. Step 2: Convert to fraction form
    2,722.78/3,757.60 = 1,543.78/x
  3. Step 3: Cross multiply
    2,722.78x = 3,757.60 × 1,543.78
  4. Step 4: Simplify right side
    2,722.78x = 5,800,907.73
  5. Step 5: Solve for x
    x = 5,800,907.73/2,722.78
  6. Step 6: Final answer
    x = 2,130.51

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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.