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Finding the Fourth Proportional to 6,481.22, 8,940.88 and 3,827.35

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Solution

The fourth proportional to 6,481.22, 8,940.88 and 3,827.35 is: 5,279.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,481.22 : 8,940.88 = 3,827.35 : x
  2. Step 2: Convert to fraction form
    6,481.22/8,940.88 = 3,827.35/x
  3. Step 3: Cross multiply
    6,481.22x = 8,940.88 × 3,827.35
  4. Step 4: Simplify right side
    6,481.22x = 34,219,893.03
  5. Step 5: Solve for x
    x = 34,219,893.03/6,481.22
  6. Step 6: Final answer
    x = 5,279.86

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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.