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Finding the Fourth Proportional to 12,198.69, 16,834.14 and 6,609.69

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Solution

The fourth proportional to 12,198.69, 16,834.14 and 6,609.69 is: 9,121.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,198.69 : 16,834.14 = 6,609.69 : x
  2. Step 2: Convert to fraction form
    12,198.69/16,834.14 = 6,609.69/x
  3. Step 3: Cross multiply
    12,198.69x = 16,834.14 × 6,609.69
  4. Step 4: Simplify right side
    12,198.69x = 111,268,446.82
  5. Step 5: Solve for x
    x = 111,268,446.82/12,198.69
  6. Step 6: Final answer
    x = 9,121.34

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.