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Finding the Fourth Proportional to 3,169.56, 4,754.32 and 861.06

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Solution

The fourth proportional to 3,169.56, 4,754.32 and 861.06 is: 1,291.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,169.56 : 4,754.32 = 861.06 : x
  2. Step 2: Convert to fraction form
    3,169.56/4,754.32 = 861.06/x
  3. Step 3: Cross multiply
    3,169.56x = 4,754.32 × 861.06
  4. Step 4: Simplify right side
    3,169.56x = 4,093,726.70
  5. Step 5: Solve for x
    x = 4,093,726.70/3,169.56
  6. Step 6: Final answer
    x = 1,291.58

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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.