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Finding the Fourth Proportional to 20,491.83, 30,738.03 and 5,700.42

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Solution

The fourth proportional to 20,491.83, 30,738.03 and 5,700.42 is: 8,550.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,491.83 : 30,738.03 = 5,700.42 : x
  2. Step 2: Convert to fraction form
    20,491.83/30,738.03 = 5,700.42/x
  3. Step 3: Cross multiply
    20,491.83x = 30,738.03 × 5,700.42
  4. Step 4: Simplify right side
    20,491.83x = 175,219,680.97
  5. Step 5: Solve for x
    x = 175,219,680.97/20,491.83
  6. Step 6: Final answer
    x = 8,550.71

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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.