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Finding the Fourth Proportional to 12,869, 17,759.22 and 6,981

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Solution

The fourth proportional to 12,869, 17,759.22 and 6,981 is: 9,633.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,869 : 17,759.22 = 6,981 : x
  2. Step 2: Convert to fraction form
    12,869/17,759.22 = 6,981/x
  3. Step 3: Cross multiply
    12,869x = 17,759.22 × 6,981
  4. Step 4: Simplify right side
    12,869x = 123,977,114.82
  5. Step 5: Solve for x
    x = 123,977,114.82/12,869
  6. Step 6: Final answer
    x = 9,633.78

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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.