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Finding the Fourth Proportional to 5,719.26, 8,578.89 and 2,019.48

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Solution

The fourth proportional to 5,719.26, 8,578.89 and 2,019.48 is: 3,029.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,719.26 : 8,578.89 = 2,019.48 : x
  2. Step 2: Convert to fraction form
    5,719.26/8,578.89 = 2,019.48/x
  3. Step 3: Cross multiply
    5,719.26x = 8,578.89 × 2,019.48
  4. Step 4: Simplify right side
    5,719.26x = 17,324,896.78
  5. Step 5: Solve for x
    x = 17,324,896.78/5,719.26
  6. Step 6: Final answer
    x = 3,029.22

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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.