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Finding the Fourth Proportional to 12,761, 17,610.27 and 7,172

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Solution

The fourth proportional to 12,761, 17,610.27 and 7,172 is: 9,897.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,761 : 17,610.27 = 7,172 : x
  2. Step 2: Convert to fraction form
    12,761/17,610.27 = 7,172/x
  3. Step 3: Cross multiply
    12,761x = 17,610.27 × 7,172
  4. Step 4: Simplify right side
    12,761x = 126,300,856.44
  5. Step 5: Solve for x
    x = 126,300,856.44/12,761
  6. Step 6: Final answer
    x = 9,897.41

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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.