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Finding the Fourth Proportional to 11,993.88, 17,979.84 and 4,198.44

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Solution

The fourth proportional to 11,993.88, 17,979.84 and 4,198.44 is: 6,293.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,993.88 : 17,979.84 = 4,198.44 : x
  2. Step 2: Convert to fraction form
    11,993.88/17,979.84 = 4,198.44/x
  3. Step 3: Cross multiply
    11,993.88x = 17,979.84 × 4,198.44
  4. Step 4: Simplify right side
    11,993.88x = 75,487,279.45
  5. Step 5: Solve for x
    x = 75,487,279.45/11,993.88
  6. Step 6: Final answer
    x = 6,293.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.