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Finding the Fourth Proportional to 3,991.81, 5,985.11 and 1,911.75

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Solution

The fourth proportional to 3,991.81, 5,985.11 and 1,911.75 is: 2,866.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,991.81 : 5,985.11 = 1,911.75 : x
  2. Step 2: Convert to fraction form
    3,991.81/5,985.11 = 1,911.75/x
  3. Step 3: Cross multiply
    3,991.81x = 5,985.11 × 1,911.75
  4. Step 4: Simplify right side
    3,991.81x = 11,442,016.69
  5. Step 5: Solve for x
    x = 11,442,016.69/3,991.81
  6. Step 6: Final answer
    x = 2,866.37

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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.