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Finding the Fourth Proportional to 3,902.80, 5,856.48 and 1,711.44

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Solution

The fourth proportional to 3,902.80, 5,856.48 and 1,711.44 is: 2,568.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.80 : 5,856.48 = 1,711.44 : x
  2. Step 2: Convert to fraction form
    3,902.80/5,856.48 = 1,711.44/x
  3. Step 3: Cross multiply
    3,902.80x = 5,856.48 × 1,711.44
  4. Step 4: Simplify right side
    3,902.80x = 10,023,014.13
  5. Step 5: Solve for x
    x = 10,023,014.13/3,902.80
  6. Step 6: Final answer
    x = 2,568.16

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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.