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Finding the Fourth Proportional to 3,472.62, 5,205.76 and 1,279.68

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Solution

The fourth proportional to 3,472.62, 5,205.76 and 1,279.68 is: 1,918.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472.62 : 5,205.76 = 1,279.68 : x
  2. Step 2: Convert to fraction form
    3,472.62/5,205.76 = 1,279.68/x
  3. Step 3: Cross multiply
    3,472.62x = 5,205.76 × 1,279.68
  4. Step 4: Simplify right side
    3,472.62x = 6,661,706.96
  5. Step 5: Solve for x
    x = 6,661,706.96/3,472.62
  6. Step 6: Final answer
    x = 1,918.35

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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.