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Finding the Fourth Proportional to 5,286.92, 7,921.43 and 3,200.61

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Solution

The fourth proportional to 5,286.92, 7,921.43 and 3,200.61 is: 4,795.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,286.92 : 7,921.43 = 3,200.61 : x
  2. Step 2: Convert to fraction form
    5,286.92/7,921.43 = 3,200.61/x
  3. Step 3: Cross multiply
    5,286.92x = 7,921.43 × 3,200.61
  4. Step 4: Simplify right side
    5,286.92x = 25,353,433.78
  5. Step 5: Solve for x
    x = 25,353,433.78/5,286.92
  6. Step 6: Final answer
    x = 4,795.51

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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.