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Finding the Fourth Proportional to 5,745.68, 7,922.76 and 3,879.44

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Solution

The fourth proportional to 5,745.68, 7,922.76 and 3,879.44 is: 5,349.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,745.68 : 7,922.76 = 3,879.44 : x
  2. Step 2: Convert to fraction form
    5,745.68/7,922.76 = 3,879.44/x
  3. Step 3: Cross multiply
    5,745.68x = 7,922.76 × 3,879.44
  4. Step 4: Simplify right side
    5,745.68x = 30,735,872.05
  5. Step 5: Solve for x
    x = 30,735,872.05/5,745.68
  6. Step 6: Final answer
    x = 5,349.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.