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Finding the Fourth Proportional to 3,170.92, 4,755.98 and 979.48

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Solution

The fourth proportional to 3,170.92, 4,755.98 and 979.48 is: 1,469.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,170.92 : 4,755.98 = 979.48 : x
  2. Step 2: Convert to fraction form
    3,170.92/4,755.98 = 979.48/x
  3. Step 3: Cross multiply
    3,170.92x = 4,755.98 × 979.48
  4. Step 4: Simplify right side
    3,170.92x = 4,658,387.29
  5. Step 5: Solve for x
    x = 4,658,387.29/3,170.92
  6. Step 6: Final answer
    x = 1,469.10

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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.