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Finding the Fourth Proportional to 3,825.94, 5,280.24 and 2,254

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Solution

The fourth proportional to 3,825.94, 5,280.24 and 2,254 is: 3,110.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,825.94 : 5,280.24 = 2,254 : x
  2. Step 2: Convert to fraction form
    3,825.94/5,280.24 = 2,254/x
  3. Step 3: Cross multiply
    3,825.94x = 5,280.24 × 2,254
  4. Step 4: Simplify right side
    3,825.94x = 11,901,660.96
  5. Step 5: Solve for x
    x = 11,901,660.96/3,825.94
  6. Step 6: Final answer
    x = 3,110.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.