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Finding the Fourth Proportional to 12,200, 16,836.02 and 6,611

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Solution

The fourth proportional to 12,200, 16,836.02 and 6,611 is: 9,123.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,200 : 16,836.02 = 6,611 : x
  2. Step 2: Convert to fraction form
    12,200/16,836.02 = 6,611/x
  3. Step 3: Cross multiply
    12,200x = 16,836.02 × 6,611
  4. Step 4: Simplify right side
    12,200x = 111,302,928.22
  5. Step 5: Solve for x
    x = 111,302,928.22/12,200
  6. Step 6: Final answer
    x = 9,123.19

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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.