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Finding the Fourth Proportional to 4,515.92, 6,770.64 and 1,917.44

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Solution

The fourth proportional to 4,515.92, 6,770.64 and 1,917.44 is: 2,874.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,515.92 : 6,770.64 = 1,917.44 : x
  2. Step 2: Convert to fraction form
    4,515.92/6,770.64 = 1,917.44/x
  3. Step 3: Cross multiply
    4,515.92x = 6,770.64 × 1,917.44
  4. Step 4: Simplify right side
    4,515.92x = 12,982,295.96
  5. Step 5: Solve for x
    x = 12,982,295.96/4,515.92
  6. Step 6: Final answer
    x = 2,874.78

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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.