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Finding the Fourth Proportional to 2,640.56, 3,643.23 and 1,843.04

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Solution

The fourth proportional to 2,640.56, 3,643.23 and 1,843.04 is: 2,542.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,640.56 : 3,643.23 = 1,843.04 : x
  2. Step 2: Convert to fraction form
    2,640.56/3,643.23 = 1,843.04/x
  3. Step 3: Cross multiply
    2,640.56x = 3,643.23 × 1,843.04
  4. Step 4: Simplify right side
    2,640.56x = 6,714,618.62
  5. Step 5: Solve for x
    x = 6,714,618.62/2,640.56
  6. Step 6: Final answer
    x = 2,542.88

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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.