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Finding the Fourth Proportional to 2,049.52, 3,074.28 and 662.80

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Solution

The fourth proportional to 2,049.52, 3,074.28 and 662.80 is: 994.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.52 : 3,074.28 = 662.80 : x
  2. Step 2: Convert to fraction form
    2,049.52/3,074.28 = 662.80/x
  3. Step 3: Cross multiply
    2,049.52x = 3,074.28 × 662.80
  4. Step 4: Simplify right side
    2,049.52x = 2,037,632.78
  5. Step 5: Solve for x
    x = 2,037,632.78/2,049.52
  6. Step 6: Final answer
    x = 994.20

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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.