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Finding the Fourth Proportional to 2,381.76, 3,286.79 and 1,333.82

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Solution

The fourth proportional to 2,381.76, 3,286.79 and 1,333.82 is: 1,840.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,381.76 : 3,286.79 = 1,333.82 : x
  2. Step 2: Convert to fraction form
    2,381.76/3,286.79 = 1,333.82/x
  3. Step 3: Cross multiply
    2,381.76x = 3,286.79 × 1,333.82
  4. Step 4: Simplify right side
    2,381.76x = 4,383,963.13
  5. Step 5: Solve for x
    x = 4,383,963.13/2,381.76
  6. Step 6: Final answer
    x = 1,840.64

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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.