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Finding the Fourth Proportional to 19,912.29, 29,882 and 8,225.43

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Solution

The fourth proportional to 19,912.29, 29,882 and 8,225.43 is: 12,343.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,912.29 : 29,882 = 8,225.43 : x
  2. Step 2: Convert to fraction form
    19,912.29/29,882 = 8,225.43/x
  3. Step 3: Cross multiply
    19,912.29x = 29,882 × 8,225.43
  4. Step 4: Simplify right side
    19,912.29x = 245,792,299.26
  5. Step 5: Solve for x
    x = 245,792,299.26/19,912.29
  6. Step 6: Final answer
    x = 12,343.75

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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.