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Finding the Fourth Proportional to 3,105.90, 4,660.90 and 1,158.04

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Solution

The fourth proportional to 3,105.90, 4,660.90 and 1,158.04 is: 1,737.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.90 : 4,660.90 = 1,158.04 : x
  2. Step 2: Convert to fraction form
    3,105.90/4,660.90 = 1,158.04/x
  3. Step 3: Cross multiply
    3,105.90x = 4,660.90 × 1,158.04
  4. Step 4: Simplify right side
    3,105.90x = 5,397,508.64
  5. Step 5: Solve for x
    x = 5,397,508.64/3,105.90
  6. Step 6: Final answer
    x = 1,737.82

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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.