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Finding the Fourth Proportional to 2,794.63, 3,858.11 and 1,957.90

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Solution

The fourth proportional to 2,794.63, 3,858.11 and 1,957.90 is: 2,702.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,794.63 : 3,858.11 = 1,957.90 : x
  2. Step 2: Convert to fraction form
    2,794.63/3,858.11 = 1,957.90/x
  3. Step 3: Cross multiply
    2,794.63x = 3,858.11 × 1,957.90
  4. Step 4: Simplify right side
    2,794.63x = 7,553,781.48
  5. Step 5: Solve for x
    x = 7,553,781.48/2,794.63
  6. Step 6: Final answer
    x = 2,702.97

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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.