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Finding the Fourth Proportional to 8,478.48, 11,694.39 and 5,832.21

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Solution

The fourth proportional to 8,478.48, 11,694.39 and 5,832.21 is: 8,044.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,478.48 : 11,694.39 = 5,832.21 : x
  2. Step 2: Convert to fraction form
    8,478.48/11,694.39 = 5,832.21/x
  3. Step 3: Cross multiply
    8,478.48x = 11,694.39 × 5,832.21
  4. Step 4: Simplify right side
    8,478.48x = 68,204,138.30
  5. Step 5: Solve for x
    x = 68,204,138.30/8,478.48
  6. Step 6: Final answer
    x = 8,044.38

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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.