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Finding the Fourth Proportional to 3,279.22, 4,922.07 and 1,431.61

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Solution

The fourth proportional to 3,279.22, 4,922.07 and 1,431.61 is: 2,148.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,279.22 : 4,922.07 = 1,431.61 : x
  2. Step 2: Convert to fraction form
    3,279.22/4,922.07 = 1,431.61/x
  3. Step 3: Cross multiply
    3,279.22x = 4,922.07 × 1,431.61
  4. Step 4: Simplify right side
    3,279.22x = 7,046,466.96
  5. Step 5: Solve for x
    x = 7,046,466.96/3,279.22
  6. Step 6: Final answer
    x = 2,148.83

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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.