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Finding the Fourth Proportional to 11,993.74, 17,979.65 and 4,198.30

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Solution

The fourth proportional to 11,993.74, 17,979.65 and 4,198.30 is: 6,293.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,993.74 : 17,979.65 = 4,198.30 : x
  2. Step 2: Convert to fraction form
    11,993.74/17,979.65 = 4,198.30/x
  3. Step 3: Cross multiply
    11,993.74x = 17,979.65 × 4,198.30
  4. Step 4: Simplify right side
    11,993.74x = 75,483,964.60
  5. Step 5: Solve for x
    x = 75,483,964.60/11,993.74
  6. Step 6: Final answer
    x = 6,293.61

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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.