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Finding the Fourth Proportional to 12,413.98, 18,620.97 and 3,648.90

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Solution

The fourth proportional to 12,413.98, 18,620.97 and 3,648.90 is: 5,473.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,413.98 : 18,620.97 = 3,648.90 : x
  2. Step 2: Convert to fraction form
    12,413.98/18,620.97 = 3,648.90/x
  3. Step 3: Cross multiply
    12,413.98x = 18,620.97 × 3,648.90
  4. Step 4: Simplify right side
    12,413.98x = 67,946,057.43
  5. Step 5: Solve for x
    x = 67,946,057.43/12,413.98
  6. Step 6: Final answer
    x = 5,473.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.