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Finding the Fourth Proportional to 11,978.34, 17,961.48 and 6,982.32

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Solution

The fourth proportional to 11,978.34, 17,961.48 and 6,982.32 is: 10,469.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,978.34 : 17,961.48 = 6,982.32 : x
  2. Step 2: Convert to fraction form
    11,978.34/17,961.48 = 6,982.32/x
  3. Step 3: Cross multiply
    11,978.34x = 17,961.48 × 6,982.32
  4. Step 4: Simplify right side
    11,978.34x = 125,412,801.03
  5. Step 5: Solve for x
    x = 125,412,801.03/11,978.34
  6. Step 6: Final answer
    x = 10,469.97

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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.