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Finding the Fourth Proportional to 2,850.54, 3,932.19 and 2,063.22

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Solution

The fourth proportional to 2,850.54, 3,932.19 and 2,063.22 is: 2,846.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,850.54 : 3,932.19 = 2,063.22 : x
  2. Step 2: Convert to fraction form
    2,850.54/3,932.19 = 2,063.22/x
  3. Step 3: Cross multiply
    2,850.54x = 3,932.19 × 2,063.22
  4. Step 4: Simplify right side
    2,850.54x = 8,112,973.05
  5. Step 5: Solve for x
    x = 8,112,973.05/2,850.54
  6. Step 6: Final answer
    x = 2,846.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.