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Finding the Fourth Proportional to 12,760, 17,608.89 and 7,171

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Solution

The fourth proportional to 12,760, 17,608.89 and 7,171 is: 9,896.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,760 : 17,608.89 = 7,171 : x
  2. Step 2: Convert to fraction form
    12,760/17,608.89 = 7,171/x
  3. Step 3: Cross multiply
    12,760x = 17,608.89 × 7,171
  4. Step 4: Simplify right side
    12,760x = 126,273,350.19
  5. Step 5: Solve for x
    x = 126,273,350.19/12,760
  6. Step 6: Final answer
    x = 9,896.03

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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.