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Finding the Fourth Proportional to 12,206.42, 16,844.82 and 6,617.42

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Solution

The fourth proportional to 12,206.42, 16,844.82 and 6,617.42 is: 9,132.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,206.42 : 16,844.82 = 6,617.42 : x
  2. Step 2: Convert to fraction form
    12,206.42/16,844.82 = 6,617.42/x
  3. Step 3: Cross multiply
    12,206.42x = 16,844.82 × 6,617.42
  4. Step 4: Simplify right side
    12,206.42x = 111,469,248.76
  5. Step 5: Solve for x
    x = 111,469,248.76/12,206.42
  6. Step 6: Final answer
    x = 9,132.02

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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.