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Finding the Fourth Proportional to 6,866.82, 10,286.49 and 3,163.98

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Solution

The fourth proportional to 6,866.82, 10,286.49 and 3,163.98 is: 4,739.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,866.82 : 10,286.49 = 3,163.98 : x
  2. Step 2: Convert to fraction form
    6,866.82/10,286.49 = 3,163.98/x
  3. Step 3: Cross multiply
    6,866.82x = 10,286.49 × 3,163.98
  4. Step 4: Simplify right side
    6,866.82x = 32,546,248.63
  5. Step 5: Solve for x
    x = 32,546,248.63/6,866.82
  6. Step 6: Final answer
    x = 4,739.64

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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.