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Finding the Fourth Proportional to 3,778.90, 5,691 and 3,442.22

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Solution

The fourth proportional to 3,778.90, 5,691 and 3,442.22 is: 5,183.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778.90 : 5,691 = 3,442.22 : x
  2. Step 2: Convert to fraction form
    3,778.90/5,691 = 3,442.22/x
  3. Step 3: Cross multiply
    3,778.90x = 5,691 × 3,442.22
  4. Step 4: Simplify right side
    3,778.90x = 19,589,674.02
  5. Step 5: Solve for x
    x = 19,589,674.02/3,778.90
  6. Step 6: Final answer
    x = 5,183.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.