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Finding the Fourth Proportional to 6,481.44, 9,720.12 and 2,097.88

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Solution

The fourth proportional to 6,481.44, 9,720.12 and 2,097.88 is: 3,146.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,481.44 : 9,720.12 = 2,097.88 : x
  2. Step 2: Convert to fraction form
    6,481.44/9,720.12 = 2,097.88/x
  3. Step 3: Cross multiply
    6,481.44x = 9,720.12 × 2,097.88
  4. Step 4: Simplify right side
    6,481.44x = 20,391,645.35
  5. Step 5: Solve for x
    x = 20,391,645.35/6,481.44
  6. Step 6: Final answer
    x = 3,146.16

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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.