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Finding the Fourth Proportional to 5,716.13, 7,888.46 and 3,198.22

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Solution

The fourth proportional to 5,716.13, 7,888.46 and 3,198.22 is: 4,413.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,716.13 : 7,888.46 = 3,198.22 : x
  2. Step 2: Convert to fraction form
    5,716.13/7,888.46 = 3,198.22/x
  3. Step 3: Cross multiply
    5,716.13x = 7,888.46 × 3,198.22
  4. Step 4: Simplify right side
    5,716.13x = 25,228,994.83
  5. Step 5: Solve for x
    x = 25,228,994.83/5,716.13
  6. Step 6: Final answer
    x = 4,413.65

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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.