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Finding the Fourth Proportional to 18,469.50, 27,704.82 and 4,618.50

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Solution

The fourth proportional to 18,469.50, 27,704.82 and 4,618.50 is: 6,927.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,469.50 : 27,704.82 = 4,618.50 : x
  2. Step 2: Convert to fraction form
    18,469.50/27,704.82 = 4,618.50/x
  3. Step 3: Cross multiply
    18,469.50x = 27,704.82 × 4,618.50
  4. Step 4: Simplify right side
    18,469.50x = 127,954,711.17
  5. Step 5: Solve for x
    x = 127,954,711.17/18,469.50
  6. Step 6: Final answer
    x = 6,927.89

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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.