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Finding the Fourth Proportional to 1,983.96, 2,737.92 and 1,099.80

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Solution

The fourth proportional to 1,983.96, 2,737.92 and 1,099.80 is: 1,517.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.96 : 2,737.92 = 1,099.80 : x
  2. Step 2: Convert to fraction form
    1,983.96/2,737.92 = 1,099.80/x
  3. Step 3: Cross multiply
    1,983.96x = 2,737.92 × 1,099.80
  4. Step 4: Simplify right side
    1,983.96x = 3,011,164.42
  5. Step 5: Solve for x
    x = 3,011,164.42/1,983.96
  6. Step 6: Final answer
    x = 1,517.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.