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Finding the Fourth Proportional to 18,307.50, 27,469.42 and 8,441.48

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Solution

The fourth proportional to 18,307.50, 27,469.42 and 8,441.48 is: 12,665.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,307.50 : 27,469.42 = 8,441.48 : x
  2. Step 2: Convert to fraction form
    18,307.50/27,469.42 = 8,441.48/x
  3. Step 3: Cross multiply
    18,307.50x = 27,469.42 × 8,441.48
  4. Step 4: Simplify right side
    18,307.50x = 231,882,559.54
  5. Step 5: Solve for x
    x = 231,882,559.54/18,307.50
  6. Step 6: Final answer
    x = 12,665.99

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1.5x scale

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.