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Finding the Fourth Proportional to 6,339.82, 9,505.68 and 2,644.60

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Solution

The fourth proportional to 6,339.82, 9,505.68 and 2,644.60 is: 3,965.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,339.82 : 9,505.68 = 2,644.60 : x
  2. Step 2: Convert to fraction form
    6,339.82/9,505.68 = 2,644.60/x
  3. Step 3: Cross multiply
    6,339.82x = 9,505.68 × 2,644.60
  4. Step 4: Simplify right side
    6,339.82x = 25,138,721.33
  5. Step 5: Solve for x
    x = 25,138,721.33/6,339.82
  6. Step 6: Final answer
    x = 3,965.21

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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.