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Finding the Fourth Proportional to 12,372.36, 18,549 and 8,413.32

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Solution

The fourth proportional to 12,372.36, 18,549 and 8,413.32 is: 12,613.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,372.36 : 18,549 = 8,413.32 : x
  2. Step 2: Convert to fraction form
    12,372.36/18,549 = 8,413.32/x
  3. Step 3: Cross multiply
    12,372.36x = 18,549 × 8,413.32
  4. Step 4: Simplify right side
    12,372.36x = 156,058,672.68
  5. Step 5: Solve for x
    x = 156,058,672.68/12,372.36
  6. Step 6: Final answer
    x = 12,613.49

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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.