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Finding the Fourth Proportional to 6,413.39, 8,853.18 and 3,896.31

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Solution

The fourth proportional to 6,413.39, 8,853.18 and 3,896.31 is: 5,378.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413.39 : 8,853.18 = 3,896.31 : x
  2. Step 2: Convert to fraction form
    6,413.39/8,853.18 = 3,896.31/x
  3. Step 3: Cross multiply
    6,413.39x = 8,853.18 × 3,896.31
  4. Step 4: Simplify right side
    6,413.39x = 34,494,774.27
  5. Step 5: Solve for x
    x = 34,494,774.27/6,413.39
  6. Step 6: Final answer
    x = 5,378.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.