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Finding the Fourth Proportional to 2,800.80, 4,198.37 and 1,568.79

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Solution

The fourth proportional to 2,800.80, 4,198.37 and 1,568.79 is: 2,351.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,800.80 : 4,198.37 = 1,568.79 : x
  2. Step 2: Convert to fraction form
    2,800.80/4,198.37 = 1,568.79/x
  3. Step 3: Cross multiply
    2,800.80x = 4,198.37 × 1,568.79
  4. Step 4: Simplify right side
    2,800.80x = 6,586,353.03
  5. Step 5: Solve for x
    x = 6,586,353.03/2,800.80
  6. Step 6: Final answer
    x = 2,351.60

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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.