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Finding the Fourth Proportional to 2,805.66, 3,863.36 and 2,744.17

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Solution

The fourth proportional to 2,805.66, 3,863.36 and 2,744.17 is: 3,778.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,805.66 : 3,863.36 = 2,744.17 : x
  2. Step 2: Convert to fraction form
    2,805.66/3,863.36 = 2,744.17/x
  3. Step 3: Cross multiply
    2,805.66x = 3,863.36 × 2,744.17
  4. Step 4: Simplify right side
    2,805.66x = 10,601,716.61
  5. Step 5: Solve for x
    x = 10,601,716.61/2,805.66
  6. Step 6: Final answer
    x = 3,778.69

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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.