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Finding the Fourth Proportional to 2,873.41, 3,963.39 and 1,738.78

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Solution

The fourth proportional to 2,873.41, 3,963.39 and 1,738.78 is: 2,398.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,873.41 : 3,963.39 = 1,738.78 : x
  2. Step 2: Convert to fraction form
    2,873.41/3,963.39 = 1,738.78/x
  3. Step 3: Cross multiply
    2,873.41x = 3,963.39 × 1,738.78
  4. Step 4: Simplify right side
    2,873.41x = 6,891,463.26
  5. Step 5: Solve for x
    x = 6,891,463.26/2,873.41
  6. Step 6: Final answer
    x = 2,398.36

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1.5x scale

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.