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Finding the Fourth Proportional to 3,270.75, 4,906.19 and 805.56

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Solution

The fourth proportional to 3,270.75, 4,906.19 and 805.56 is: 1,208.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,270.75 : 4,906.19 = 805.56 : x
  2. Step 2: Convert to fraction form
    3,270.75/4,906.19 = 805.56/x
  3. Step 3: Cross multiply
    3,270.75x = 4,906.19 × 805.56
  4. Step 4: Simplify right side
    3,270.75x = 3,952,226.39
  5. Step 5: Solve for x
    x = 3,952,226.39/3,270.75
  6. Step 6: Final answer
    x = 1,208.35

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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.