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Finding the Fourth Proportional to 3,949.86, 5,923.50 and 1,450.47

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Solution

The fourth proportional to 3,949.86, 5,923.50 and 1,450.47 is: 2,175.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,949.86 : 5,923.50 = 1,450.47 : x
  2. Step 2: Convert to fraction form
    3,949.86/5,923.50 = 1,450.47/x
  3. Step 3: Cross multiply
    3,949.86x = 5,923.50 × 1,450.47
  4. Step 4: Simplify right side
    3,949.86x = 8,591,859.05
  5. Step 5: Solve for x
    x = 8,591,859.05/3,949.86
  6. Step 6: Final answer
    x = 2,175.23

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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.