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Finding the Fourth Proportional to 3,279.90, 4,920.64 and 2,917.42

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Solution

The fourth proportional to 3,279.90, 4,920.64 and 2,917.42 is: 4,376.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,279.90 : 4,920.64 = 2,917.42 : x
  2. Step 2: Convert to fraction form
    3,279.90/4,920.64 = 2,917.42/x
  3. Step 3: Cross multiply
    3,279.90x = 4,920.64 × 2,917.42
  4. Step 4: Simplify right side
    3,279.90x = 14,355,573.55
  5. Step 5: Solve for x
    x = 14,355,573.55/3,279.90
  6. Step 6: Final answer
    x = 4,376.83

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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.