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Finding the Fourth Proportional to 20,003.76, 30,006 and 5,211.78

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Solution

The fourth proportional to 20,003.76, 30,006 and 5,211.78 is: 7,817.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,003.76 : 30,006 = 5,211.78 : x
  2. Step 2: Convert to fraction form
    20,003.76/30,006 = 5,211.78/x
  3. Step 3: Cross multiply
    20,003.76x = 30,006 × 5,211.78
  4. Step 4: Simplify right side
    20,003.76x = 156,384,670.68
  5. Step 5: Solve for x
    x = 156,384,670.68/20,003.76
  6. Step 6: Final answer
    x = 7,817.76

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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.