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Finding the Fourth Proportional to 6,682, 10,016.96 and 3,169.84

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Solution

The fourth proportional to 6,682, 10,016.96 and 3,169.84 is: 4,751.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,682 : 10,016.96 = 3,169.84 : x
  2. Step 2: Convert to fraction form
    6,682/10,016.96 = 3,169.84/x
  3. Step 3: Cross multiply
    6,682x = 10,016.96 × 3,169.84
  4. Step 4: Simplify right side
    6,682x = 31,752,160.49
  5. Step 5: Solve for x
    x = 31,752,160.49/6,682
  6. Step 6: Final answer
    x = 4,751.89

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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.