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Finding the Fourth Proportional to 11,706.76, 16,163.78 and 7,236.64

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Solution

The fourth proportional to 11,706.76, 16,163.78 and 7,236.64 is: 9,991.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,706.76 : 16,163.78 = 7,236.64 : x
  2. Step 2: Convert to fraction form
    11,706.76/16,163.78 = 7,236.64/x
  3. Step 3: Cross multiply
    11,706.76x = 16,163.78 × 7,236.64
  4. Step 4: Simplify right side
    11,706.76x = 116,971,456.90
  5. Step 5: Solve for x
    x = 116,971,456.90/11,706.76
  6. Step 6: Final answer
    x = 9,991.79

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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.