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Finding the Fourth Proportional to 3,270.80, 4,906.20 and 805.60

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Solution

The fourth proportional to 3,270.80, 4,906.20 and 805.60 is: 1,208.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,270.80 : 4,906.20 = 805.60 : x
  2. Step 2: Convert to fraction form
    3,270.80/4,906.20 = 805.60/x
  3. Step 3: Cross multiply
    3,270.80x = 4,906.20 × 805.60
  4. Step 4: Simplify right side
    3,270.80x = 3,952,434.72
  5. Step 5: Solve for x
    x = 3,952,434.72/3,270.80
  6. Step 6: Final answer
    x = 1,208.40

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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.