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Finding the Fourth Proportional to 5,716.24, 7,888.78 and 3,198.58

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Solution

The fourth proportional to 5,716.24, 7,888.78 and 3,198.58 is: 4,414.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,716.24 : 7,888.78 = 3,198.58 : x
  2. Step 2: Convert to fraction form
    5,716.24/7,888.78 = 3,198.58/x
  3. Step 3: Cross multiply
    5,716.24x = 7,888.78 × 3,198.58
  4. Step 4: Simplify right side
    5,716.24x = 25,232,893.93
  5. Step 5: Solve for x
    x = 25,232,893.93/5,716.24
  6. Step 6: Final answer
    x = 4,414.25

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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.