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Finding the Fourth Proportional to 3,169.81, 4,754.68 and 861.31

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Solution

The fourth proportional to 3,169.81, 4,754.68 and 861.31 is: 1,291.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,169.81 : 4,754.68 = 861.31 : x
  2. Step 2: Convert to fraction form
    3,169.81/4,754.68 = 861.31/x
  3. Step 3: Cross multiply
    3,169.81x = 4,754.68 × 861.31
  4. Step 4: Simplify right side
    3,169.81x = 4,095,253.43
  5. Step 5: Solve for x
    x = 4,095,253.43/3,169.81
  6. Step 6: Final answer
    x = 1,291.96

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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.