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Finding the Fourth Proportional to 8,324.41, 11,490.87 and 5,138.22

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Solution

The fourth proportional to 8,324.41, 11,490.87 and 5,138.22 is: 7,092.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,324.41 : 11,490.87 = 5,138.22 : x
  2. Step 2: Convert to fraction form
    8,324.41/11,490.87 = 5,138.22/x
  3. Step 3: Cross multiply
    8,324.41x = 11,490.87 × 5,138.22
  4. Step 4: Simplify right side
    8,324.41x = 59,042,618.05
  5. Step 5: Solve for x
    x = 59,042,618.05/8,324.41
  6. Step 6: Final answer
    x = 7,092.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.