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Finding the Fourth Proportional to 3,971.91, 5,957.91 and 1,198.61

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Solution

The fourth proportional to 3,971.91, 5,957.91 and 1,198.61 is: 1,797.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,971.91 : 5,957.91 = 1,198.61 : x
  2. Step 2: Convert to fraction form
    3,971.91/5,957.91 = 1,198.61/x
  3. Step 3: Cross multiply
    3,971.91x = 5,957.91 × 1,198.61
  4. Step 4: Simplify right side
    3,971.91x = 7,141,229.89
  5. Step 5: Solve for x
    x = 7,141,229.89/3,971.91
  6. Step 6: Final answer
    x = 1,797.93

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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.