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Finding the Fourth Proportional to 12,263.82, 16,921.14 and 6,961.56

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Solution

The fourth proportional to 12,263.82, 16,921.14 and 6,961.56 is: 9,605.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,263.82 : 16,921.14 = 6,961.56 : x
  2. Step 2: Convert to fraction form
    12,263.82/16,921.14 = 6,961.56/x
  3. Step 3: Cross multiply
    12,263.82x = 16,921.14 × 6,961.56
  4. Step 4: Simplify right side
    12,263.82x = 117,797,531.38
  5. Step 5: Solve for x
    x = 117,797,531.38/12,263.82
  6. Step 6: Final answer
    x = 9,605.29

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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.