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Finding the Fourth Proportional to 2,489.76, 3,734.10 and 734.27

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Solution

The fourth proportional to 2,489.76, 3,734.10 and 734.27 is: 1,101.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,489.76 : 3,734.10 = 734.27 : x
  2. Step 2: Convert to fraction form
    2,489.76/3,734.10 = 734.27/x
  3. Step 3: Cross multiply
    2,489.76x = 3,734.10 × 734.27
  4. Step 4: Simplify right side
    2,489.76x = 2,741,818.94
  5. Step 5: Solve for x
    x = 2,741,818.94/2,489.76
  6. Step 6: Final answer
    x = 1,101.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.