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Finding the Fourth Proportional to 3,797.28, 5,239 and 2,118.37

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Solution

The fourth proportional to 3,797.28, 5,239 and 2,118.37 is: 2,922.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,797.28 : 5,239 = 2,118.37 : x
  2. Step 2: Convert to fraction form
    3,797.28/5,239 = 2,118.37/x
  3. Step 3: Cross multiply
    3,797.28x = 5,239 × 2,118.37
  4. Step 4: Simplify right side
    3,797.28x = 11,098,140.43
  5. Step 5: Solve for x
    x = 11,098,140.43/3,797.28
  6. Step 6: Final answer
    x = 2,922.66

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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.