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Finding the Fourth Proportional to 1,984.08, 2,737.87 and 1,099.86

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Solution

The fourth proportional to 1,984.08, 2,737.87 and 1,099.86 is: 1,517.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984.08 : 2,737.87 = 1,099.86 : x
  2. Step 2: Convert to fraction form
    1,984.08/2,737.87 = 1,099.86/x
  3. Step 3: Cross multiply
    1,984.08x = 2,737.87 × 1,099.86
  4. Step 4: Simplify right side
    1,984.08x = 3,011,273.70
  5. Step 5: Solve for x
    x = 3,011,273.70/1,984.08
  6. Step 6: Final answer
    x = 1,517.72

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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.