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Finding the Fourth Proportional to 12,171, 16,795.98 and 7,203

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Solution

The fourth proportional to 12,171, 16,795.98 and 7,203 is: 9,940.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,171 : 16,795.98 = 7,203 : x
  2. Step 2: Convert to fraction form
    12,171/16,795.98 = 7,203/x
  3. Step 3: Cross multiply
    12,171x = 16,795.98 × 7,203
  4. Step 4: Simplify right side
    12,171x = 120,981,443.94
  5. Step 5: Solve for x
    x = 120,981,443.94/12,171
  6. Step 6: Final answer
    x = 9,940.14

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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.