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Finding the Fourth Proportional to 3,275.25, 4,912.11 and 935.20

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Solution

The fourth proportional to 3,275.25, 4,912.11 and 935.20 is: 1,402.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,275.25 : 4,912.11 = 935.20 : x
  2. Step 2: Convert to fraction form
    3,275.25/4,912.11 = 935.20/x
  3. Step 3: Cross multiply
    3,275.25x = 4,912.11 × 935.20
  4. Step 4: Simplify right side
    3,275.25x = 4,593,805.27
  5. Step 5: Solve for x
    x = 4,593,805.27/3,275.25
  6. Step 6: Final answer
    x = 1,402.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.