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Finding the Fourth Proportional to 3,198.28, 4,799.04 and 1,466.50

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Solution

The fourth proportional to 3,198.28, 4,799.04 and 1,466.50 is: 2,200.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.28 : 4,799.04 = 1,466.50 : x
  2. Step 2: Convert to fraction form
    3,198.28/4,799.04 = 1,466.50/x
  3. Step 3: Cross multiply
    3,198.28x = 4,799.04 × 1,466.50
  4. Step 4: Simplify right side
    3,198.28x = 7,037,792.16
  5. Step 5: Solve for x
    x = 7,037,792.16/3,198.28
  6. Step 6: Final answer
    x = 2,200.49

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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.