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Finding the Fourth Proportional to 19,884.26, 29,806.94 and 8,205.86

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Solution

The fourth proportional to 19,884.26, 29,806.94 and 8,205.86 is: 12,300.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,884.26 : 29,806.94 = 8,205.86 : x
  2. Step 2: Convert to fraction form
    19,884.26/29,806.94 = 8,205.86/x
  3. Step 3: Cross multiply
    19,884.26x = 29,806.94 × 8,205.86
  4. Step 4: Simplify right side
    19,884.26x = 244,591,576.67
  5. Step 5: Solve for x
    x = 244,591,576.67/19,884.26
  6. Step 6: Final answer
    x = 12,300.76

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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.