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Finding the Fourth Proportional to 12,195, 16,829.10 and 6,606

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Solution

The fourth proportional to 12,195, 16,829.10 and 6,606 is: 9,116.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,195 : 16,829.10 = 6,606 : x
  2. Step 2: Convert to fraction form
    12,195/16,829.10 = 6,606/x
  3. Step 3: Cross multiply
    12,195x = 16,829.10 × 6,606
  4. Step 4: Simplify right side
    12,195x = 111,173,034.60
  5. Step 5: Solve for x
    x = 111,173,034.60/12,195
  6. Step 6: Final answer
    x = 9,116.28

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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.