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Finding the Fourth Proportional to 11,918.63, 17,882.90 and 5,251.71

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Solution

The fourth proportional to 11,918.63, 17,882.90 and 5,251.71 is: 7,879.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,918.63 : 17,882.90 = 5,251.71 : x
  2. Step 2: Convert to fraction form
    11,918.63/17,882.90 = 5,251.71/x
  3. Step 3: Cross multiply
    11,918.63x = 17,882.90 × 5,251.71
  4. Step 4: Simplify right side
    11,918.63x = 93,915,778.50
  5. Step 5: Solve for x
    x = 93,915,778.50/11,918.63
  6. Step 6: Final answer
    x = 7,879.75

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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.