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Finding the Fourth Proportional to 2,096.01, 3,141.72 and 998.73

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Solution

The fourth proportional to 2,096.01, 3,141.72 and 998.73 is: 1,497.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.01 : 3,141.72 = 998.73 : x
  2. Step 2: Convert to fraction form
    2,096.01/3,141.72 = 998.73/x
  3. Step 3: Cross multiply
    2,096.01x = 3,141.72 × 998.73
  4. Step 4: Simplify right side
    2,096.01x = 3,137,730.02
  5. Step 5: Solve for x
    x = 3,137,730.02/2,096.01
  6. Step 6: Final answer
    x = 1,497.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.