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Finding the Fourth Proportional to 2,659.87, 3,987.49 and 1,098.90

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Solution

The fourth proportional to 2,659.87, 3,987.49 and 1,098.90 is: 1,647.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,659.87 : 3,987.49 = 1,098.90 : x
  2. Step 2: Convert to fraction form
    2,659.87/3,987.49 = 1,098.90/x
  3. Step 3: Cross multiply
    2,659.87x = 3,987.49 × 1,098.90
  4. Step 4: Simplify right side
    2,659.87x = 4,381,848.98
  5. Step 5: Solve for x
    x = 4,381,848.98/2,659.87
  6. Step 6: Final answer
    x = 1,647.39

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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.