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Finding the Fourth Proportional to 18,441.72, 27,650.76 and 7,918.64

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Solution

The fourth proportional to 18,441.72, 27,650.76 and 7,918.64 is: 11,872.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,441.72 : 27,650.76 = 7,918.64 : x
  2. Step 2: Convert to fraction form
    18,441.72/27,650.76 = 7,918.64/x
  3. Step 3: Cross multiply
    18,441.72x = 27,650.76 × 7,918.64
  4. Step 4: Simplify right side
    18,441.72x = 218,956,414.17
  5. Step 5: Solve for x
    x = 218,956,414.17/18,441.72
  6. Step 6: Final answer
    x = 11,872.88

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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.