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Finding the Fourth Proportional to 11,791.92, 17,656.64 and 9,440.88

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Solution

The fourth proportional to 11,791.92, 17,656.64 and 9,440.88 is: 14,136.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,791.92 : 17,656.64 = 9,440.88 : x
  2. Step 2: Convert to fraction form
    11,791.92/17,656.64 = 9,440.88/x
  3. Step 3: Cross multiply
    11,791.92x = 17,656.64 × 9,440.88
  4. Step 4: Simplify right side
    11,791.92x = 166,694,219.44
  5. Step 5: Solve for x
    x = 166,694,219.44/11,791.92
  6. Step 6: Final answer
    x = 14,136.31

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