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Finding the Fourth Proportional to 11,980.92, 17,968.91 and 3,213.75

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Solution

The fourth proportional to 11,980.92, 17,968.91 and 3,213.75 is: 4,819.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,980.92 : 17,968.91 = 3,213.75 : x
  2. Step 2: Convert to fraction form
    11,980.92/17,968.91 = 3,213.75/x
  3. Step 3: Cross multiply
    11,980.92x = 17,968.91 × 3,213.75
  4. Step 4: Simplify right side
    11,980.92x = 57,747,568.44
  5. Step 5: Solve for x
    x = 57,747,568.44/11,980.92
  6. Step 6: Final answer
    x = 4,819.96

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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.