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Finding the Fourth Proportional to 3,169.88, 4,755.29 and 978.42

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Solution

The fourth proportional to 3,169.88, 4,755.29 and 978.42 is: 1,467.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,169.88 : 4,755.29 = 978.42 : x
  2. Step 2: Convert to fraction form
    3,169.88/4,755.29 = 978.42/x
  3. Step 3: Cross multiply
    3,169.88x = 4,755.29 × 978.42
  4. Step 4: Simplify right side
    3,169.88x = 4,652,665.95
  5. Step 5: Solve for x
    x = 4,652,665.95/3,169.88
  6. Step 6: Final answer
    x = 1,467.78

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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.