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Finding the Fourth Proportional to 12,205.97, 16,844.25 and 6,616.97

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Solution

The fourth proportional to 12,205.97, 16,844.25 and 6,616.97 is: 9,131.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,205.97 : 16,844.25 = 6,616.97 : x
  2. Step 2: Convert to fraction form
    12,205.97/16,844.25 = 6,616.97/x
  3. Step 3: Cross multiply
    12,205.97x = 16,844.25 × 6,616.97
  4. Step 4: Simplify right side
    12,205.97x = 111,457,812.70
  5. Step 5: Solve for x
    x = 111,457,812.70/12,205.97
  6. Step 6: Final answer
    x = 9,131.42

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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.