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Finding the Fourth Proportional to 7,198.13, 9,933.42 and 4,213.82

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Solution

The fourth proportional to 7,198.13, 9,933.42 and 4,213.82 is: 5,815.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,198.13 : 9,933.42 = 4,213.82 : x
  2. Step 2: Convert to fraction form
    7,198.13/9,933.42 = 4,213.82/x
  3. Step 3: Cross multiply
    7,198.13x = 9,933.42 × 4,213.82
  4. Step 4: Simplify right side
    7,198.13x = 41,857,594.20
  5. Step 5: Solve for x
    x = 41,857,594.20/7,198.13
  6. Step 6: Final answer
    x = 5,815.07

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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.