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Finding the Fourth Proportional to 2,481.78, 3,723.24 and 750.42

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Solution

The fourth proportional to 2,481.78, 3,723.24 and 750.42 is: 1,125.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,481.78 : 3,723.24 = 750.42 : x
  2. Step 2: Convert to fraction form
    2,481.78/3,723.24 = 750.42/x
  3. Step 3: Cross multiply
    2,481.78x = 3,723.24 × 750.42
  4. Step 4: Simplify right side
    2,481.78x = 2,793,993.76
  5. Step 5: Solve for x
    x = 2,793,993.76/2,481.78
  6. Step 6: Final answer
    x = 1,125.80

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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.