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Finding the Fourth Proportional to 3,816.26, 5,721.15 and 3,634.82

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Solution

The fourth proportional to 3,816.26, 5,721.15 and 3,634.82 is: 5,449.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,816.26 : 5,721.15 = 3,634.82 : x
  2. Step 2: Convert to fraction form
    3,816.26/5,721.15 = 3,634.82/x
  3. Step 3: Cross multiply
    3,816.26x = 5,721.15 × 3,634.82
  4. Step 4: Simplify right side
    3,816.26x = 20,795,350.44
  5. Step 5: Solve for x
    x = 20,795,350.44/3,816.26
  6. Step 6: Final answer
    x = 5,449.14

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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.