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Finding the Fourth Proportional to 11,919, 17,879.22 and 3,711

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Solution

The fourth proportional to 11,919, 17,879.22 and 3,711 is: 5,566.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,919 : 17,879.22 = 3,711 : x
  2. Step 2: Convert to fraction form
    11,919/17,879.22 = 3,711/x
  3. Step 3: Cross multiply
    11,919x = 17,879.22 × 3,711
  4. Step 4: Simplify right side
    11,919x = 66,349,785.42
  5. Step 5: Solve for x
    x = 66,349,785.42/11,919
  6. Step 6: Final answer
    x = 5,566.72

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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.