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Finding the Fourth Proportional to 3,975.75, 5,488.00 and 3,413.96

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Solution

The fourth proportional to 3,975.75, 5,488.00 and 3,413.96 is: 4,712.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,975.75 : 5,488.00 = 3,413.96 : x
  2. Step 2: Convert to fraction form
    3,975.75/5,488.00 = 3,413.96/x
  3. Step 3: Cross multiply
    3,975.75x = 5,488.00 × 3,413.96
  4. Step 4: Simplify right side
    3,975.75x = 18,735,824.01
  5. Step 5: Solve for x
    x = 18,735,824.01/3,975.75
  6. Step 6: Final answer
    x = 4,712.53

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