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Finding the Fourth Proportional to 21,899.25, 32,826.92 and 8,553.87

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Solution

The fourth proportional to 21,899.25, 32,826.92 and 8,553.87 is: 12,822.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,899.25 : 32,826.92 = 8,553.87 : x
  2. Step 2: Convert to fraction form
    21,899.25/32,826.92 = 8,553.87/x
  3. Step 3: Cross multiply
    21,899.25x = 32,826.92 × 8,553.87
  4. Step 4: Simplify right side
    21,899.25x = 280,797,163.41
  5. Step 5: Solve for x
    x = 280,797,163.41/21,899.25
  6. Step 6: Final answer
    x = 12,822.23

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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.