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Finding the Fourth Proportional to 2,489.62, 3,734.43 and 1,027.16

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Solution

The fourth proportional to 2,489.62, 3,734.43 and 1,027.16 is: 1,540.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,489.62 : 3,734.43 = 1,027.16 : x
  2. Step 2: Convert to fraction form
    2,489.62/3,734.43 = 1,027.16/x
  3. Step 3: Cross multiply
    2,489.62x = 3,734.43 × 1,027.16
  4. Step 4: Simplify right side
    2,489.62x = 3,835,851.98
  5. Step 5: Solve for x
    x = 3,835,851.98/2,489.62
  6. Step 6: Final answer
    x = 1,540.74

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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.