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Finding the Fourth Proportional to 2,472.62, 3,708.92 and 717.72

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Solution

The fourth proportional to 2,472.62, 3,708.92 and 717.72 is: 1,076.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.62 : 3,708.92 = 717.72 : x
  2. Step 2: Convert to fraction form
    2,472.62/3,708.92 = 717.72/x
  3. Step 3: Cross multiply
    2,472.62x = 3,708.92 × 717.72
  4. Step 4: Simplify right side
    2,472.62x = 2,661,953.95
  5. Step 5: Solve for x
    x = 2,661,953.95/2,472.62
  6. Step 6: Final answer
    x = 1,076.57

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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.