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Finding the Fourth Proportional to 21,902.77, 32,855.91 and 8,747.92

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Solution

The fourth proportional to 21,902.77, 32,855.91 and 8,747.92 is: 13,122.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,902.77 : 32,855.91 = 8,747.92 : x
  2. Step 2: Convert to fraction form
    21,902.77/32,855.91 = 8,747.92/x
  3. Step 3: Cross multiply
    21,902.77x = 32,855.91 × 8,747.92
  4. Step 4: Simplify right side
    21,902.77x = 287,420,872.21
  5. Step 5: Solve for x
    x = 287,420,872.21/21,902.77
  6. Step 6: Final answer
    x = 13,122.58

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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.