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Finding the Fourth Proportional to 6,867, 9,472.82 and 4,179.03

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Solution

The fourth proportional to 6,867, 9,472.82 and 4,179.03 is: 5,764.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,867 : 9,472.82 = 4,179.03 : x
  2. Step 2: Convert to fraction form
    6,867/9,472.82 = 4,179.03/x
  3. Step 3: Cross multiply
    6,867x = 9,472.82 × 4,179.03
  4. Step 4: Simplify right side
    6,867x = 39,587,178.07
  5. Step 5: Solve for x
    x = 39,587,178.07/6,867
  6. Step 6: Final answer
    x = 5,764.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.