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Finding the Fourth Proportional to 21,902.52, 32,855.54 and 8,747.67

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Solution

The fourth proportional to 21,902.52, 32,855.54 and 8,747.67 is: 13,122.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,902.52 : 32,855.54 = 8,747.67 : x
  2. Step 2: Convert to fraction form
    21,902.52/32,855.54 = 8,747.67/x
  3. Step 3: Cross multiply
    21,902.52x = 32,855.54 × 8,747.67
  4. Step 4: Simplify right side
    21,902.52x = 287,409,377.85
  5. Step 5: Solve for x
    x = 287,409,377.85/21,902.52
  6. Step 6: Final answer
    x = 13,122.21

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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.