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Finding the Fourth Proportional to 7,863.68, 11,789.04 and 4,163.68

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Solution

The fourth proportional to 7,863.68, 11,789.04 and 4,163.68 is: 6,242.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,863.68 : 11,789.04 = 4,163.68 : x
  2. Step 2: Convert to fraction form
    7,863.68/11,789.04 = 4,163.68/x
  3. Step 3: Cross multiply
    7,863.68x = 11,789.04 × 4,163.68
  4. Step 4: Simplify right side
    7,863.68x = 49,085,790.07
  5. Step 5: Solve for x
    x = 49,085,790.07/7,863.68
  6. Step 6: Final answer
    x = 6,242.09

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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.