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Finding the Fourth Proportional to 2,743.90, 3,787.04 and 2,158.90

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Solution

The fourth proportional to 2,743.90, 3,787.04 and 2,158.90 is: 2,979.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,743.90 : 3,787.04 = 2,158.90 : x
  2. Step 2: Convert to fraction form
    2,743.90/3,787.04 = 2,158.90/x
  3. Step 3: Cross multiply
    2,743.90x = 3,787.04 × 2,158.90
  4. Step 4: Simplify right side
    2,743.90x = 8,175,840.66
  5. Step 5: Solve for x
    x = 8,175,840.66/2,743.90
  6. Step 6: Final answer
    x = 2,979.64

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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.