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Finding the Fourth Proportional to 20,545.44, 30,819.95 and 5,754.54

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Solution

The fourth proportional to 20,545.44, 30,819.95 and 5,754.54 is: 8,632.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,545.44 : 30,819.95 = 5,754.54 : x
  2. Step 2: Convert to fraction form
    20,545.44/30,819.95 = 5,754.54/x
  3. Step 3: Cross multiply
    20,545.44x = 30,819.95 × 5,754.54
  4. Step 4: Simplify right side
    20,545.44x = 177,354,606.30
  5. Step 5: Solve for x
    x = 177,354,606.30/20,545.44
  6. Step 6: Final answer
    x = 8,632.31

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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.