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Finding the Fourth Proportional to 3,908, 5,393.20 and 2,252

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Solution

The fourth proportional to 3,908, 5,393.20 and 2,252 is: 3,107.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,908 : 5,393.20 = 2,252 : x
  2. Step 2: Convert to fraction form
    3,908/5,393.20 = 2,252/x
  3. Step 3: Cross multiply
    3,908x = 5,393.20 × 2,252
  4. Step 4: Simplify right side
    3,908x = 12,145,486.40
  5. Step 5: Solve for x
    x = 12,145,486.40/3,908
  6. Step 6: Final answer
    x = 3,107.85

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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.