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Finding the Fourth Proportional to 3,170.47, 4,755.70 and 861.97

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Solution

The fourth proportional to 3,170.47, 4,755.70 and 861.97 is: 1,292.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,170.47 : 4,755.70 = 861.97 : x
  2. Step 2: Convert to fraction form
    3,170.47/4,755.70 = 861.97/x
  3. Step 3: Cross multiply
    3,170.47x = 4,755.70 × 861.97
  4. Step 4: Simplify right side
    3,170.47x = 4,099,270.73
  5. Step 5: Solve for x
    x = 4,099,270.73/3,170.47
  6. Step 6: Final answer
    x = 1,292.95

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1.5x scale

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.