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Finding the Fourth Proportional to 3,771.38, 5,649.50 and 1,922.42

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Solution

The fourth proportional to 3,771.38, 5,649.50 and 1,922.42 is: 2,879.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,771.38 : 5,649.50 = 1,922.42 : x
  2. Step 2: Convert to fraction form
    3,771.38/5,649.50 = 1,922.42/x
  3. Step 3: Cross multiply
    3,771.38x = 5,649.50 × 1,922.42
  4. Step 4: Simplify right side
    3,771.38x = 10,860,711.79
  5. Step 5: Solve for x
    x = 10,860,711.79/3,771.38
  6. Step 6: Final answer
    x = 2,879.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.