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Finding the Fourth Proportional to 2,660.87, 3,988.99 and 1,099.90

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Solution

The fourth proportional to 2,660.87, 3,988.99 and 1,099.90 is: 1,648.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,660.87 : 3,988.99 = 1,099.90 : x
  2. Step 2: Convert to fraction form
    2,660.87/3,988.99 = 1,099.90/x
  3. Step 3: Cross multiply
    2,660.87x = 3,988.99 × 1,099.90
  4. Step 4: Simplify right side
    2,660.87x = 4,387,490.10
  5. Step 5: Solve for x
    x = 4,387,490.10/2,660.87
  6. Step 6: Final answer
    x = 1,648.89

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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.