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Finding the Fourth Proportional to 20,578.56, 30,872.70 and 7,249.56

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Solution

The fourth proportional to 20,578.56, 30,872.70 and 7,249.56 is: 10,876.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,578.56 : 30,872.70 = 7,249.56 : x
  2. Step 2: Convert to fraction form
    20,578.56/30,872.70 = 7,249.56/x
  3. Step 3: Cross multiply
    20,578.56x = 30,872.70 × 7,249.56
  4. Step 4: Simplify right side
    20,578.56x = 223,813,491.01
  5. Step 5: Solve for x
    x = 223,813,491.01/20,578.56
  6. Step 6: Final answer
    x = 10,876.05

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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.