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Finding the Fourth Proportional to 3,107.57, 4,660.14 and 1,158.71

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Solution

The fourth proportional to 3,107.57, 4,660.14 and 1,158.71 is: 1,737.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,107.57 : 4,660.14 = 1,158.71 : x
  2. Step 2: Convert to fraction form
    3,107.57/4,660.14 = 1,158.71/x
  3. Step 3: Cross multiply
    3,107.57x = 4,660.14 × 1,158.71
  4. Step 4: Simplify right side
    3,107.57x = 5,399,750.82
  5. Step 5: Solve for x
    x = 5,399,750.82/3,107.57
  6. Step 6: Final answer
    x = 1,737.61

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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.