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Finding the Fourth Proportional to 6,481.14, 9,719.68 and 2,097.69

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Solution

The fourth proportional to 6,481.14, 9,719.68 and 2,097.69 is: 3,145.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,481.14 : 9,719.68 = 2,097.69 : x
  2. Step 2: Convert to fraction form
    6,481.14/9,719.68 = 2,097.69/x
  3. Step 3: Cross multiply
    6,481.14x = 9,719.68 × 2,097.69
  4. Step 4: Simplify right side
    6,481.14x = 20,388,875.54
  5. Step 5: Solve for x
    x = 20,388,875.54/6,481.14
  6. Step 6: Final answer
    x = 3,145.88

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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.