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Finding the Fourth Proportional to 3,589.22, 4,942.41 and 3,327.86

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Solution

The fourth proportional to 3,589.22, 4,942.41 and 3,327.86 is: 4,582.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,589.22 : 4,942.41 = 3,327.86 : x
  2. Step 2: Convert to fraction form
    3,589.22/4,942.41 = 3,327.86/x
  3. Step 3: Cross multiply
    3,589.22x = 4,942.41 × 3,327.86
  4. Step 4: Simplify right side
    3,589.22x = 16,447,648.54
  5. Step 5: Solve for x
    x = 16,447,648.54/3,589.22
  6. Step 6: Final answer
    x = 4,582.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.