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Finding the Fourth Proportional to 11,879.44, 17,818.78 and 5,643.94

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Solution

The fourth proportional to 11,879.44, 17,818.78 and 5,643.94 is: 8,465.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,879.44 : 17,818.78 = 5,643.94 : x
  2. Step 2: Convert to fraction form
    11,879.44/17,818.78 = 5,643.94/x
  3. Step 3: Cross multiply
    11,879.44x = 17,818.78 × 5,643.94
  4. Step 4: Simplify right side
    11,879.44x = 100,568,125.19
  5. Step 5: Solve for x
    x = 100,568,125.19/11,879.44
  6. Step 6: Final answer
    x = 8,465.73

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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.