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Finding the Fourth Proportional to 12,072.97, 16,662.68 and 6,769.09

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Solution

The fourth proportional to 12,072.97, 16,662.68 and 6,769.09 is: 9,342.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,072.97 : 16,662.68 = 6,769.09 : x
  2. Step 2: Convert to fraction form
    12,072.97/16,662.68 = 6,769.09/x
  3. Step 3: Cross multiply
    12,072.97x = 16,662.68 × 6,769.09
  4. Step 4: Simplify right side
    12,072.97x = 112,791,180.56
  5. Step 5: Solve for x
    x = 112,791,180.56/12,072.97
  6. Step 6: Final answer
    x = 9,342.46

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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.