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Finding the Fourth Proportional to 3,859.72, 5,793.63 and 2,129.56

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Solution

The fourth proportional to 3,859.72, 5,793.63 and 2,129.56 is: 3,196.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,859.72 : 5,793.63 = 2,129.56 : x
  2. Step 2: Convert to fraction form
    3,859.72/5,793.63 = 2,129.56/x
  3. Step 3: Cross multiply
    3,859.72x = 5,793.63 × 2,129.56
  4. Step 4: Simplify right side
    3,859.72x = 12,337,882.70
  5. Step 5: Solve for x
    x = 12,337,882.70/3,859.72
  6. Step 6: Final answer
    x = 3,196.57

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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.