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Finding the Fourth Proportional to 3,169.75, 4,754.76 and 861.25

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Solution

The fourth proportional to 3,169.75, 4,754.76 and 861.25 is: 1,291.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,169.75 : 4,754.76 = 861.25 : x
  2. Step 2: Convert to fraction form
    3,169.75/4,754.76 = 861.25/x
  3. Step 3: Cross multiply
    3,169.75x = 4,754.76 × 861.25
  4. Step 4: Simplify right side
    3,169.75x = 4,095,037.05
  5. Step 5: Solve for x
    x = 4,095,037.05/3,169.75
  6. Step 6: Final answer
    x = 1,291.91

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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.