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Finding the Fourth Proportional to 12,195, 18,292.56 and 2,961

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Solution

The fourth proportional to 12,195, 18,292.56 and 2,961 is: 4,441.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,195 : 18,292.56 = 2,961 : x
  2. Step 2: Convert to fraction form
    12,195/18,292.56 = 2,961/x
  3. Step 3: Cross multiply
    12,195x = 18,292.56 × 2,961
  4. Step 4: Simplify right side
    12,195x = 54,164,270.16
  5. Step 5: Solve for x
    x = 54,164,270.16/12,195
  6. Step 6: Final answer
    x = 4,441.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.