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Finding the Fourth Proportional to 2,781.41, 3,838.38 and 1,522.52

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Solution

The fourth proportional to 2,781.41, 3,838.38 and 1,522.52 is: 2,101.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781.41 : 3,838.38 = 1,522.52 : x
  2. Step 2: Convert to fraction form
    2,781.41/3,838.38 = 1,522.52/x
  3. Step 3: Cross multiply
    2,781.41x = 3,838.38 × 1,522.52
  4. Step 4: Simplify right side
    2,781.41x = 5,843,991.13
  5. Step 5: Solve for x
    x = 5,843,991.13/2,781.41
  6. Step 6: Final answer
    x = 2,101.09

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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.