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Finding the Fourth Proportional to 5,772, 8,649.19 and 3,427.39

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Solution

The fourth proportional to 5,772, 8,649.19 and 3,427.39 is: 5,135.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,772 : 8,649.19 = 3,427.39 : x
  2. Step 2: Convert to fraction form
    5,772/8,649.19 = 3,427.39/x
  3. Step 3: Cross multiply
    5,772x = 8,649.19 × 3,427.39
  4. Step 4: Simplify right side
    5,772x = 29,644,147.31
  5. Step 5: Solve for x
    x = 29,644,147.31/5,772
  6. Step 6: Final answer
    x = 5,135.85

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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.