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Finding the Fourth Proportional to 3,205.78, 4,799.98 and 1,663.54

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Solution

The fourth proportional to 3,205.78, 4,799.98 and 1,663.54 is: 2,490.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.78 : 4,799.98 = 1,663.54 : x
  2. Step 2: Convert to fraction form
    3,205.78/4,799.98 = 1,663.54/x
  3. Step 3: Cross multiply
    3,205.78x = 4,799.98 × 1,663.54
  4. Step 4: Simplify right side
    3,205.78x = 7,984,926.41
  5. Step 5: Solve for x
    x = 7,984,926.41/3,205.78
  6. Step 6: Final answer
    x = 2,490.79

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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.