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Finding the Fourth Proportional to 6,479.73, 9,721.49 and 2,097.09

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Solution

The fourth proportional to 6,479.73, 9,721.49 and 2,097.09 is: 3,146.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,479.73 : 9,721.49 = 2,097.09 : x
  2. Step 2: Convert to fraction form
    6,479.73/9,721.49 = 2,097.09/x
  3. Step 3: Cross multiply
    6,479.73x = 9,721.49 × 2,097.09
  4. Step 4: Simplify right side
    6,479.73x = 20,386,828.98
  5. Step 5: Solve for x
    x = 20,386,828.98/6,479.73
  6. Step 6: Final answer
    x = 3,146.25

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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.