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Finding the Fourth Proportional to 13,211.36, 18,231 and 7,622

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Solution

The fourth proportional to 13,211.36, 18,231 and 7,622 is: 10,517.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,211.36 : 18,231 = 7,622 : x
  2. Step 2: Convert to fraction form
    13,211.36/18,231 = 7,622/x
  3. Step 3: Cross multiply
    13,211.36x = 18,231 × 7,622
  4. Step 4: Simplify right side
    13,211.36x = 138,956,682
  5. Step 5: Solve for x
    x = 138,956,682/13,211.36
  6. Step 6: Final answer
    x = 10,517.97

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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.