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Finding the Fourth Proportional to 11,992.37, 17,991 and 4,206.65

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Solution

The fourth proportional to 11,992.37, 17,991 and 4,206.65 is: 6,310.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,992.37 : 17,991 = 4,206.65 : x
  2. Step 2: Convert to fraction form
    11,992.37/17,991 = 4,206.65/x
  3. Step 3: Cross multiply
    11,992.37x = 17,991 × 4,206.65
  4. Step 4: Simplify right side
    11,992.37x = 75,681,750.20
  5. Step 5: Solve for x
    x = 75,681,750.20/11,992.37
  6. Step 6: Final answer
    x = 6,310.83

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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.