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Finding the Fourth Proportional to 3,204.80, 4,807.20 and 3,022.55

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Solution

The fourth proportional to 3,204.80, 4,807.20 and 3,022.55 is: 4,533.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204.80 : 4,807.20 = 3,022.55 : x
  2. Step 2: Convert to fraction form
    3,204.80/4,807.20 = 3,022.55/x
  3. Step 3: Cross multiply
    3,204.80x = 4,807.20 × 3,022.55
  4. Step 4: Simplify right side
    3,204.80x = 14,530,002.36
  5. Step 5: Solve for x
    x = 14,530,002.36/3,204.80
  6. Step 6: Final answer
    x = 4,533.83

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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.