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Finding the Fourth Proportional to 18,307, 27,450.78 and 8,441.20

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Solution

The fourth proportional to 18,307, 27,450.78 and 8,441.20 is: 12,657.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,307 : 27,450.78 = 8,441.20 : x
  2. Step 2: Convert to fraction form
    18,307/27,450.78 = 8,441.20/x
  3. Step 3: Cross multiply
    18,307x = 27,450.78 × 8,441.20
  4. Step 4: Simplify right side
    18,307x = 231,717,524.14
  5. Step 5: Solve for x
    x = 231,717,524.14/18,307
  6. Step 6: Final answer
    x = 12,657.32

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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.