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Finding the Fourth Proportional to 11,982.62, 17,947.76 and 9,879.01

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Solution

The fourth proportional to 11,982.62, 17,947.76 and 9,879.01 is: 14,796.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,982.62 : 17,947.76 = 9,879.01 : x
  2. Step 2: Convert to fraction form
    11,982.62/17,947.76 = 9,879.01/x
  3. Step 3: Cross multiply
    11,982.62x = 17,947.76 × 9,879.01
  4. Step 4: Simplify right side
    11,982.62x = 177,306,006.25
  5. Step 5: Solve for x
    x = 177,306,006.25/11,982.62
  6. Step 6: Final answer
    x = 14,796.93

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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.