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Finding the Fourth Proportional to 11,941.31, 17,911.97 and 9,172.94

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Solution

The fourth proportional to 11,941.31, 17,911.97 and 9,172.94 is: 13,759.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,941.31 : 17,911.97 = 9,172.94 : x
  2. Step 2: Convert to fraction form
    11,941.31/17,911.97 = 9,172.94/x
  3. Step 3: Cross multiply
    11,941.31x = 17,911.97 × 9,172.94
  4. Step 4: Simplify right side
    11,941.31x = 164,305,290.67
  5. Step 5: Solve for x
    x = 164,305,290.67/11,941.31
  6. Step 6: Final answer
    x = 13,759.41

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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.