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Finding the Fourth Proportional to 3,911.24, 5,857.74 and 1,933.22

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Solution

The fourth proportional to 3,911.24, 5,857.74 and 1,933.22 is: 2,895.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,911.24 : 5,857.74 = 1,933.22 : x
  2. Step 2: Convert to fraction form
    3,911.24/5,857.74 = 1,933.22/x
  3. Step 3: Cross multiply
    3,911.24x = 5,857.74 × 1,933.22
  4. Step 4: Simplify right side
    3,911.24x = 11,324,300.12
  5. Step 5: Solve for x
    x = 11,324,300.12/3,911.24
  6. Step 6: Final answer
    x = 2,895.32

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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.