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Finding the Fourth Proportional to 2,481.26, 3,721.95 and 749.88

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Solution

The fourth proportional to 2,481.26, 3,721.95 and 749.88 is: 1,124.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,481.26 : 3,721.95 = 749.88 : x
  2. Step 2: Convert to fraction form
    2,481.26/3,721.95 = 749.88/x
  3. Step 3: Cross multiply
    2,481.26x = 3,721.95 × 749.88
  4. Step 4: Simplify right side
    2,481.26x = 2,791,015.87
  5. Step 5: Solve for x
    x = 2,791,015.87/2,481.26
  6. Step 6: Final answer
    x = 1,124.84

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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.