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Finding the Fourth Proportional to 11,863.68, 17,791.20 and 5,288.64

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Solution

The fourth proportional to 11,863.68, 17,791.20 and 5,288.64 is: 7,931.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,863.68 : 17,791.20 = 5,288.64 : x
  2. Step 2: Convert to fraction form
    11,863.68/17,791.20 = 5,288.64/x
  3. Step 3: Cross multiply
    11,863.68x = 17,791.20 × 5,288.64
  4. Step 4: Simplify right side
    11,863.68x = 94,091,251.97
  5. Step 5: Solve for x
    x = 94,091,251.97/11,863.68
  6. Step 6: Final answer
    x = 7,931.03

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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.