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Finding the Fourth Proportional to 6,564.78, 9,843.90 and 3,279.78

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Solution

The fourth proportional to 6,564.78, 9,843.90 and 3,279.78 is: 4,918.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,564.78 : 9,843.90 = 3,279.78 : x
  2. Step 2: Convert to fraction form
    6,564.78/9,843.90 = 3,279.78/x
  3. Step 3: Cross multiply
    6,564.78x = 9,843.90 × 3,279.78
  4. Step 4: Simplify right side
    6,564.78x = 32,285,826.34
  5. Step 5: Solve for x
    x = 32,285,826.34/6,564.78
  6. Step 6: Final answer
    x = 4,918.04

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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.