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Finding the Fourth Proportional to 3,821.73, 5,737.21 and 3,627.98

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Solution

The fourth proportional to 3,821.73, 5,737.21 and 3,627.98 is: 5,446.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,821.73 : 5,737.21 = 3,627.98 : x
  2. Step 2: Convert to fraction form
    3,821.73/5,737.21 = 3,627.98/x
  3. Step 3: Cross multiply
    3,821.73x = 5,737.21 × 3,627.98
  4. Step 4: Simplify right side
    3,821.73x = 20,814,483.14
  5. Step 5: Solve for x
    x = 20,814,483.14/3,821.73
  6. Step 6: Final answer
    x = 5,446.35

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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.