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Finding the Fourth Proportional to 2,489.05, 3,734.55 and 1,027.86

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Solution

The fourth proportional to 2,489.05, 3,734.55 and 1,027.86 is: 1,542.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,489.05 : 3,734.55 = 1,027.86 : x
  2. Step 2: Convert to fraction form
    2,489.05/3,734.55 = 1,027.86/x
  3. Step 3: Cross multiply
    2,489.05x = 3,734.55 × 1,027.86
  4. Step 4: Simplify right side
    2,489.05x = 3,838,594.56
  5. Step 5: Solve for x
    x = 3,838,594.56/2,489.05
  6. Step 6: Final answer
    x = 1,542.19

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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.