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Finding the Fourth Proportional to 8,163.72, 11,268 and 5,022.72

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Solution

The fourth proportional to 8,163.72, 11,268 and 5,022.72 is: 6,932.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,163.72 : 11,268 = 5,022.72 : x
  2. Step 2: Convert to fraction form
    8,163.72/11,268 = 5,022.72/x
  3. Step 3: Cross multiply
    8,163.72x = 11,268 × 5,022.72
  4. Step 4: Simplify right side
    8,163.72x = 56,596,008.96
  5. Step 5: Solve for x
    x = 56,596,008.96/8,163.72
  6. Step 6: Final answer
    x = 6,932.62

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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.