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Finding the Fourth Proportional to 18,234.75, 27,362.88 and 7,704.09

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Solution

The fourth proportional to 18,234.75, 27,362.88 and 7,704.09 is: 11,560.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,234.75 : 27,362.88 = 7,704.09 : x
  2. Step 2: Convert to fraction form
    18,234.75/27,362.88 = 7,704.09/x
  3. Step 3: Cross multiply
    18,234.75x = 27,362.88 × 7,704.09
  4. Step 4: Simplify right side
    18,234.75x = 210,806,090.18
  5. Step 5: Solve for x
    x = 210,806,090.18/18,234.75
  6. Step 6: Final answer
    x = 11,560.68

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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.