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Finding the Fourth Proportional to 5,198.31, 7,178.22 and 3,789.99

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Solution

The fourth proportional to 5,198.31, 7,178.22 and 3,789.99 is: 5,233.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198.31 : 7,178.22 = 3,789.99 : x
  2. Step 2: Convert to fraction form
    5,198.31/7,178.22 = 3,789.99/x
  3. Step 3: Cross multiply
    5,198.31x = 7,178.22 × 3,789.99
  4. Step 4: Simplify right side
    5,198.31x = 27,205,382.02
  5. Step 5: Solve for x
    x = 27,205,382.02/5,198.31
  6. Step 6: Final answer
    x = 5,233.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.