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Finding the Fourth Proportional to 6,481.09, 9,721.59 and 2,780.92

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Solution

The fourth proportional to 6,481.09, 9,721.59 and 2,780.92 is: 4,171.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,481.09 : 9,721.59 = 2,780.92 : x
  2. Step 2: Convert to fraction form
    6,481.09/9,721.59 = 2,780.92/x
  3. Step 3: Cross multiply
    6,481.09x = 9,721.59 × 2,780.92
  4. Step 4: Simplify right side
    6,481.09x = 27,034,964.06
  5. Step 5: Solve for x
    x = 27,034,964.06/6,481.09
  6. Step 6: Final answer
    x = 4,171.36

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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.