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Finding the Fourth Proportional to 2,864.97, 4,291.11 and 2,787.48

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Solution

The fourth proportional to 2,864.97, 4,291.11 and 2,787.48 is: 4,175.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864.97 : 4,291.11 = 2,787.48 : x
  2. Step 2: Convert to fraction form
    2,864.97/4,291.11 = 2,787.48/x
  3. Step 3: Cross multiply
    2,864.97x = 4,291.11 × 2,787.48
  4. Step 4: Simplify right side
    2,864.97x = 11,961,383.30
  5. Step 5: Solve for x
    x = 11,961,383.30/2,864.97
  6. Step 6: Final answer
    x = 4,175.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.