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Finding the Fourth Proportional to 3,934.05, 5,891.22 and 2,351.80

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Solution

The fourth proportional to 3,934.05, 5,891.22 and 2,351.80 is: 3,521.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,934.05 : 5,891.22 = 2,351.80 : x
  2. Step 2: Convert to fraction form
    3,934.05/5,891.22 = 2,351.80/x
  3. Step 3: Cross multiply
    3,934.05x = 5,891.22 × 2,351.80
  4. Step 4: Simplify right side
    3,934.05x = 13,854,956.47
  5. Step 5: Solve for x
    x = 13,854,956.47/3,934.05
  6. Step 6: Final answer
    x = 3,521.80

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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.