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Finding the Fourth Proportional to 3,974.80, 5,959.87 and 1,200.64

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Solution

The fourth proportional to 3,974.80, 5,959.87 and 1,200.64 is: 1,800.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,974.80 : 5,959.87 = 1,200.64 : x
  2. Step 2: Convert to fraction form
    3,974.80/5,959.87 = 1,200.64/x
  3. Step 3: Cross multiply
    3,974.80x = 5,959.87 × 1,200.64
  4. Step 4: Simplify right side
    3,974.80x = 7,155,658.32
  5. Step 5: Solve for x
    x = 7,155,658.32/3,974.80
  6. Step 6: Final answer
    x = 1,800.26

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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.