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Finding the Fourth Proportional to 3,380.96, 4,657.92 and 2,882

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Solution

The fourth proportional to 3,380.96, 4,657.92 and 2,882 is: 3,970.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,380.96 : 4,657.92 = 2,882 : x
  2. Step 2: Convert to fraction form
    3,380.96/4,657.92 = 2,882/x
  3. Step 3: Cross multiply
    3,380.96x = 4,657.92 × 2,882
  4. Step 4: Simplify right side
    3,380.96x = 13,424,125.44
  5. Step 5: Solve for x
    x = 13,424,125.44/3,380.96
  6. Step 6: Final answer
    x = 3,970.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.