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Finding the Fourth Proportional to 5,716.29, 7,888.61 and 3,198.29

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Solution

The fourth proportional to 5,716.29, 7,888.61 and 3,198.29 is: 4,413.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,716.29 : 7,888.61 = 3,198.29 : x
  2. Step 2: Convert to fraction form
    5,716.29/7,888.61 = 3,198.29/x
  3. Step 3: Cross multiply
    5,716.29x = 7,888.61 × 3,198.29
  4. Step 4: Simplify right side
    5,716.29x = 25,230,062.48
  5. Step 5: Solve for x
    x = 25,230,062.48/5,716.29
  6. Step 6: Final answer
    x = 4,413.71

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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.