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Finding the Fourth Proportional to 2,781.75, 3,838.20 and 1,662.52

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Solution

The fourth proportional to 2,781.75, 3,838.20 and 1,662.52 is: 2,293.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781.75 : 3,838.20 = 1,662.52 : x
  2. Step 2: Convert to fraction form
    2,781.75/3,838.20 = 1,662.52/x
  3. Step 3: Cross multiply
    2,781.75x = 3,838.20 × 1,662.52
  4. Step 4: Simplify right side
    2,781.75x = 6,381,084.26
  5. Step 5: Solve for x
    x = 6,381,084.26/2,781.75
  6. Step 6: Final answer
    x = 2,293.91

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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.