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Finding the Fourth Proportional to 11,917.38, 17,879.11 and 6,991.37

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Solution

The fourth proportional to 11,917.38, 17,879.11 and 6,991.37 is: 10,488.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,917.38 : 17,879.11 = 6,991.37 : x
  2. Step 2: Convert to fraction form
    11,917.38/17,879.11 = 6,991.37/x
  3. Step 3: Cross multiply
    11,917.38x = 17,879.11 × 6,991.37
  4. Step 4: Simplify right side
    11,917.38x = 124,999,473.28
  5. Step 5: Solve for x
    x = 124,999,473.28/11,917.38
  6. Step 6: Final answer
    x = 10,488.84

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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.