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Finding the Fourth Proportional to 18,640.89, 27,961.43 and 6,954

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Solution

The fourth proportional to 18,640.89, 27,961.43 and 6,954 is: 10,431.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,640.89 : 27,961.43 = 6,954 : x
  2. Step 2: Convert to fraction form
    18,640.89/27,961.43 = 6,954/x
  3. Step 3: Cross multiply
    18,640.89x = 27,961.43 × 6,954
  4. Step 4: Simplify right side
    18,640.89x = 194,443,749.45
  5. Step 5: Solve for x
    x = 194,443,749.45/18,640.89
  6. Step 6: Final answer
    x = 10,431.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.