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Finding the Fourth Proportional to 5,578.78, 8,362.33 and 1,879.73

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Solution

The fourth proportional to 5,578.78, 8,362.33 and 1,879.73 is: 2,817.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,578.78 : 8,362.33 = 1,879.73 : x
  2. Step 2: Convert to fraction form
    5,578.78/8,362.33 = 1,879.73/x
  3. Step 3: Cross multiply
    5,578.78x = 8,362.33 × 1,879.73
  4. Step 4: Simplify right side
    5,578.78x = 15,718,871.36
  5. Step 5: Solve for x
    x = 15,718,871.36/5,578.78
  6. Step 6: Final answer
    x = 2,817.62

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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.