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Finding the Fourth Proportional to 3,198.95, 4,795.98 and 2,654.63

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Solution

The fourth proportional to 3,198.95, 4,795.98 and 2,654.63 is: 3,979.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.95 : 4,795.98 = 2,654.63 : x
  2. Step 2: Convert to fraction form
    3,198.95/4,795.98 = 2,654.63/x
  3. Step 3: Cross multiply
    3,198.95x = 4,795.98 × 2,654.63
  4. Step 4: Simplify right side
    3,198.95x = 12,731,528.41
  5. Step 5: Solve for x
    x = 12,731,528.41/3,198.95
  6. Step 6: Final answer
    x = 3,979.91

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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.