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Finding the Fourth Proportional to 3,796.40, 5,238.40 and 2,117.44

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Solution

The fourth proportional to 3,796.40, 5,238.40 and 2,117.44 is: 2,921.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,796.40 : 5,238.40 = 2,117.44 : x
  2. Step 2: Convert to fraction form
    3,796.40/5,238.40 = 2,117.44/x
  3. Step 3: Cross multiply
    3,796.40x = 5,238.40 × 2,117.44
  4. Step 4: Simplify right side
    3,796.40x = 11,091,997.70
  5. Step 5: Solve for x
    x = 11,091,997.70/3,796.40
  6. Step 6: Final answer
    x = 2,921.71

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1.5x scale

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.