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Finding the Fourth Proportional to 3,413.69, 4,712.16 and 1,997.82

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Solution

The fourth proportional to 3,413.69, 4,712.16 and 1,997.82 is: 2,757.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.69 : 4,712.16 = 1,997.82 : x
  2. Step 2: Convert to fraction form
    3,413.69/4,712.16 = 1,997.82/x
  3. Step 3: Cross multiply
    3,413.69x = 4,712.16 × 1,997.82
  4. Step 4: Simplify right side
    3,413.69x = 9,414,047.49
  5. Step 5: Solve for x
    x = 9,414,047.49/3,413.69
  6. Step 6: Final answer
    x = 2,757.74

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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.