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Finding the Fourth Proportional to 3,957.27, 5,934.09 and 1,145.46

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Solution

The fourth proportional to 3,957.27, 5,934.09 and 1,145.46 is: 1,717.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,957.27 : 5,934.09 = 1,145.46 : x
  2. Step 2: Convert to fraction form
    3,957.27/5,934.09 = 1,145.46/x
  3. Step 3: Cross multiply
    3,957.27x = 5,934.09 × 1,145.46
  4. Step 4: Simplify right side
    3,957.27x = 6,797,262.73
  5. Step 5: Solve for x
    x = 6,797,262.73/3,957.27
  6. Step 6: Final answer
    x = 1,717.66

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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.