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Finding the Fourth Proportional to 2,659.14, 3,990.25 and 1,098.85

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Solution

The fourth proportional to 2,659.14, 3,990.25 and 1,098.85 is: 1,648.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,659.14 : 3,990.25 = 1,098.85 : x
  2. Step 2: Convert to fraction form
    2,659.14/3,990.25 = 1,098.85/x
  3. Step 3: Cross multiply
    2,659.14x = 3,990.25 × 1,098.85
  4. Step 4: Simplify right side
    2,659.14x = 4,384,700.38
  5. Step 5: Solve for x
    x = 4,384,700.38/2,659.14
  6. Step 6: Final answer
    x = 1,648.92

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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.