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Finding the Fourth Proportional to 20,379.54, 30,519.92 and 10,357.94

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Solution

The fourth proportional to 20,379.54, 30,519.92 and 10,357.94 is: 15,511.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,379.54 : 30,519.92 = 10,357.94 : x
  2. Step 2: Convert to fraction form
    20,379.54/30,519.92 = 10,357.94/x
  3. Step 3: Cross multiply
    20,379.54x = 30,519.92 × 10,357.94
  4. Step 4: Simplify right side
    20,379.54x = 316,123,500.16
  5. Step 5: Solve for x
    x = 316,123,500.16/20,379.54
  6. Step 6: Final answer
    x = 15,511.81

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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.