Home / 3,872.24-5,809-1,274.56

Finding the Fourth Proportional to 3,872.24, 5,809 and 1,274.56

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Solution

The fourth proportional to 3,872.24, 5,809 and 1,274.56 is: 1,912.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.24 : 5,809 = 1,274.56 : x
  2. Step 2: Convert to fraction form
    3,872.24/5,809 = 1,274.56/x
  3. Step 3: Cross multiply
    3,872.24x = 5,809 × 1,274.56
  4. Step 4: Simplify right side
    3,872.24x = 7,403,919.04
  5. Step 5: Solve for x
    x = 7,403,919.04/3,872.24
  6. Step 6: Final answer
    x = 1,912.05

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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.