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Finding the Fourth Proportional to 2,872.62, 3,963.72 and 1,693.92

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Solution

The fourth proportional to 2,872.62, 3,963.72 and 1,693.92 is: 2,337.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,872.62 : 3,963.72 = 1,693.92 : x
  2. Step 2: Convert to fraction form
    2,872.62/3,963.72 = 1,693.92/x
  3. Step 3: Cross multiply
    2,872.62x = 3,963.72 × 1,693.92
  4. Step 4: Simplify right side
    2,872.62x = 6,714,224.58
  5. Step 5: Solve for x
    x = 6,714,224.58/2,872.62
  6. Step 6: Final answer
    x = 2,337.32

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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.