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Finding the Fourth Proportional to 11,923, 16,453.74 and 6,618.67

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Solution

The fourth proportional to 11,923, 16,453.74 and 6,618.67 is: 9,133.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,923 : 16,453.74 = 6,618.67 : x
  2. Step 2: Convert to fraction form
    11,923/16,453.74 = 6,618.67/x
  3. Step 3: Cross multiply
    11,923x = 16,453.74 × 6,618.67
  4. Step 4: Simplify right side
    11,923x = 108,901,875.33
  5. Step 5: Solve for x
    x = 108,901,875.33/11,923
  6. Step 6: Final answer
    x = 9,133.76

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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.