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Finding the Fourth Proportional to 3,469.13, 4,787.46 and 2,071.88

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Solution

The fourth proportional to 3,469.13, 4,787.46 and 2,071.88 is: 2,859.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,469.13 : 4,787.46 = 2,071.88 : x
  2. Step 2: Convert to fraction form
    3,469.13/4,787.46 = 2,071.88/x
  3. Step 3: Cross multiply
    3,469.13x = 4,787.46 × 2,071.88
  4. Step 4: Simplify right side
    3,469.13x = 9,919,042.62
  5. Step 5: Solve for x
    x = 9,919,042.62/3,469.13
  6. Step 6: Final answer
    x = 2,859.23

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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.