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Finding the Fourth Proportional to 2,850.80, 3,932.18 and 1,906.22

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Solution

The fourth proportional to 2,850.80, 3,932.18 and 1,906.22 is: 2,629.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,850.80 : 3,932.18 = 1,906.22 : x
  2. Step 2: Convert to fraction form
    2,850.80/3,932.18 = 1,906.22/x
  3. Step 3: Cross multiply
    2,850.80x = 3,932.18 × 1,906.22
  4. Step 4: Simplify right side
    2,850.80x = 7,495,600.16
  5. Step 5: Solve for x
    x = 7,495,600.16/2,850.80
  6. Step 6: Final answer
    x = 2,629.30

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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.