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Finding the Fourth Proportional to 4,578.72, 6,879.09 and 2,938.50

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Solution

The fourth proportional to 4,578.72, 6,879.09 and 2,938.50 is: 4,414.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,578.72 : 6,879.09 = 2,938.50 : x
  2. Step 2: Convert to fraction form
    4,578.72/6,879.09 = 2,938.50/x
  3. Step 3: Cross multiply
    4,578.72x = 6,879.09 × 2,938.50
  4. Step 4: Simplify right side
    4,578.72x = 20,214,205.97
  5. Step 5: Solve for x
    x = 20,214,205.97/4,578.72
  6. Step 6: Final answer
    x = 4,414.82

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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.