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Finding the Fourth Proportional to 3,753.75, 5,629.75 and 1,413.99

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Solution

The fourth proportional to 3,753.75, 5,629.75 and 1,413.99 is: 2,120.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,753.75 : 5,629.75 = 1,413.99 : x
  2. Step 2: Convert to fraction form
    3,753.75/5,629.75 = 1,413.99/x
  3. Step 3: Cross multiply
    3,753.75x = 5,629.75 × 1,413.99
  4. Step 4: Simplify right side
    3,753.75x = 7,960,414.62
  5. Step 5: Solve for x
    x = 7,960,414.62/3,753.75
  6. Step 6: Final answer
    x = 2,120.66

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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.