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Finding the Fourth Proportional to 11,910.82, 16,440.33 and 7,195.42

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Solution

The fourth proportional to 11,910.82, 16,440.33 and 7,195.42 is: 9,931.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,910.82 : 16,440.33 = 7,195.42 : x
  2. Step 2: Convert to fraction form
    11,910.82/16,440.33 = 7,195.42/x
  3. Step 3: Cross multiply
    11,910.82x = 16,440.33 × 7,195.42
  4. Step 4: Simplify right side
    11,910.82x = 118,295,079.29
  5. Step 5: Solve for x
    x = 118,295,079.29/11,910.82
  6. Step 6: Final answer
    x = 9,931.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.