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Finding the Fourth Proportional to 3,751.54, 5,630.12 and 1,413.85

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Solution

The fourth proportional to 3,751.54, 5,630.12 and 1,413.85 is: 2,121.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,751.54 : 5,630.12 = 1,413.85 : x
  2. Step 2: Convert to fraction form
    3,751.54/5,630.12 = 1,413.85/x
  3. Step 3: Cross multiply
    3,751.54x = 5,630.12 × 1,413.85
  4. Step 4: Simplify right side
    3,751.54x = 7,960,145.16
  5. Step 5: Solve for x
    x = 7,960,145.16/3,751.54
  6. Step 6: Final answer
    x = 2,121.83

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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.