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Finding the Fourth Proportional to 6,351, 8,764.38 and 3,867

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Solution

The fourth proportional to 6,351, 8,764.38 and 3,867 is: 5,336.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,351 : 8,764.38 = 3,867 : x
  2. Step 2: Convert to fraction form
    6,351/8,764.38 = 3,867/x
  3. Step 3: Cross multiply
    6,351x = 8,764.38 × 3,867
  4. Step 4: Simplify right side
    6,351x = 33,891,857.46
  5. Step 5: Solve for x
    x = 33,891,857.46/6,351
  6. Step 6: Final answer
    x = 5,336.46

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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.