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Finding the Fourth Proportional to 3,493.86, 5,241.39 and 1,851.85

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Solution

The fourth proportional to 3,493.86, 5,241.39 and 1,851.85 is: 2,778.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,493.86 : 5,241.39 = 1,851.85 : x
  2. Step 2: Convert to fraction form
    3,493.86/5,241.39 = 1,851.85/x
  3. Step 3: Cross multiply
    3,493.86x = 5,241.39 × 1,851.85
  4. Step 4: Simplify right side
    3,493.86x = 9,706,268.07
  5. Step 5: Solve for x
    x = 9,706,268.07/3,493.86
  6. Step 6: Final answer
    x = 2,778.09

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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.