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Finding the Fourth Proportional to 12,205.75, 16,843.98 and 6,616.75

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Solution

The fourth proportional to 12,205.75, 16,843.98 and 6,616.75 is: 9,131.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,205.75 : 16,843.98 = 6,616.75 : x
  2. Step 2: Convert to fraction form
    12,205.75/16,843.98 = 6,616.75/x
  3. Step 3: Cross multiply
    12,205.75x = 16,843.98 × 6,616.75
  4. Step 4: Simplify right side
    12,205.75x = 111,452,404.67
  5. Step 5: Solve for x
    x = 111,452,404.67/12,205.75
  6. Step 6: Final answer
    x = 9,131.14

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Half scale
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Find fourth proportional to 12,206.75, 16,845.36 and 6,617.75
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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.