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Finding the Fourth Proportional to 21,859.70, 32,780.49 and 6,861.80

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Solution

The fourth proportional to 21,859.70, 32,780.49 and 6,861.80 is: 10,289.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,859.70 : 32,780.49 = 6,861.80 : x
  2. Step 2: Convert to fraction form
    21,859.70/32,780.49 = 6,861.80/x
  3. Step 3: Cross multiply
    21,859.70x = 32,780.49 × 6,861.80
  4. Step 4: Simplify right side
    21,859.70x = 224,933,248.23
  5. Step 5: Solve for x
    x = 224,933,248.23/21,859.70
  6. Step 6: Final answer
    x = 10,289.86

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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.