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Finding the Fourth Proportional to 21,234.60, 31,855.73 and 8,747.80

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Solution

The fourth proportional to 21,234.60, 31,855.73 and 8,747.80 is: 13,123.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,234.60 : 31,855.73 = 8,747.80 : x
  2. Step 2: Convert to fraction form
    21,234.60/31,855.73 = 8,747.80/x
  3. Step 3: Cross multiply
    21,234.60x = 31,855.73 × 8,747.80
  4. Step 4: Simplify right side
    21,234.60x = 278,667,431.52
  5. Step 5: Solve for x
    x = 278,667,431.52/21,234.60
  6. Step 6: Final answer
    x = 13,123.27

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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.