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Finding the Fourth Proportional to 2,729.70, 4,095.10 and 998.28

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Solution

The fourth proportional to 2,729.70, 4,095.10 and 998.28 is: 1,497.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,729.70 : 4,095.10 = 998.28 : x
  2. Step 2: Convert to fraction form
    2,729.70/4,095.10 = 998.28/x
  3. Step 3: Cross multiply
    2,729.70x = 4,095.10 × 998.28
  4. Step 4: Simplify right side
    2,729.70x = 4,088,056.43
  5. Step 5: Solve for x
    x = 4,088,056.43/2,729.70
  6. Step 6: Final answer
    x = 1,497.62

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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.