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Finding the Fourth Proportional to 12,196, 18,263 and 11,072.73

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Solution

The fourth proportional to 12,196, 18,263 and 11,072.73 is: 16,580.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,196 : 18,263 = 11,072.73 : x
  2. Step 2: Convert to fraction form
    12,196/18,263 = 11,072.73/x
  3. Step 3: Cross multiply
    12,196x = 18,263 × 11,072.73
  4. Step 4: Simplify right side
    12,196x = 202,221,267.99
  5. Step 5: Solve for x
    x = 202,221,267.99/12,196
  6. Step 6: Final answer
    x = 16,580.95

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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.