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Finding the Fourth Proportional to 19,882.81, 29,819.30 and 11,879.77

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Solution

The fourth proportional to 19,882.81, 29,819.30 and 11,879.77 is: 17,816.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,882.81 : 29,819.30 = 11,879.77 : x
  2. Step 2: Convert to fraction form
    19,882.81/29,819.30 = 11,879.77/x
  3. Step 3: Cross multiply
    19,882.81x = 29,819.30 × 11,879.77
  4. Step 4: Simplify right side
    19,882.81x = 354,246,217.07
  5. Step 5: Solve for x
    x = 354,246,217.07/19,882.81
  6. Step 6: Final answer
    x = 17,816.71

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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.