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Finding the Fourth Proportional to 2,791.43, 3,850.94 and 1,728.92

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Solution

The fourth proportional to 2,791.43, 3,850.94 and 1,728.92 is: 2,385.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,791.43 : 3,850.94 = 1,728.92 : x
  2. Step 2: Convert to fraction form
    2,791.43/3,850.94 = 1,728.92/x
  3. Step 3: Cross multiply
    2,791.43x = 3,850.94 × 1,728.92
  4. Step 4: Simplify right side
    2,791.43x = 6,657,952.25
  5. Step 5: Solve for x
    x = 6,657,952.25/2,791.43
  6. Step 6: Final answer
    x = 2,385.14

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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.