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Finding the Fourth Proportional to 3,309.60, 4,964.64 and 1,200.97

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Solution

The fourth proportional to 3,309.60, 4,964.64 and 1,200.97 is: 1,801.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,309.60 : 4,964.64 = 1,200.97 : x
  2. Step 2: Convert to fraction form
    3,309.60/4,964.64 = 1,200.97/x
  3. Step 3: Cross multiply
    3,309.60x = 4,964.64 × 1,200.97
  4. Step 4: Simplify right side
    3,309.60x = 5,962,383.70
  5. Step 5: Solve for x
    x = 5,962,383.70/3,309.60
  6. Step 6: Final answer
    x = 1,801.54

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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.