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Finding the Fourth Proportional to 18,311.09, 27,447.60 and 7,787.86

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Solution

The fourth proportional to 18,311.09, 27,447.60 and 7,787.86 is: 11,673.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,311.09 : 27,447.60 = 7,787.86 : x
  2. Step 2: Convert to fraction form
    18,311.09/27,447.60 = 7,787.86/x
  3. Step 3: Cross multiply
    18,311.09x = 27,447.60 × 7,787.86
  4. Step 4: Simplify right side
    18,311.09x = 213,758,066.14
  5. Step 5: Solve for x
    x = 213,758,066.14/18,311.09
  6. Step 6: Final answer
    x = 11,673.69

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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.