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Finding the Fourth Proportional to 3,893.85, 5,842.90 and 1,814.84

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Solution

The fourth proportional to 3,893.85, 5,842.90 and 1,814.84 is: 2,723.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,893.85 : 5,842.90 = 1,814.84 : x
  2. Step 2: Convert to fraction form
    3,893.85/5,842.90 = 1,814.84/x
  3. Step 3: Cross multiply
    3,893.85x = 5,842.90 × 1,814.84
  4. Step 4: Simplify right side
    3,893.85x = 10,603,923.60
  5. Step 5: Solve for x
    x = 10,603,923.60/3,893.85
  6. Step 6: Final answer
    x = 2,723.25

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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.