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Finding the Fourth Proportional to 2,099.44, 3,149.72 and 1,869.90

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Solution

The fourth proportional to 2,099.44, 3,149.72 and 1,869.90 is: 2,805.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.44 : 3,149.72 = 1,869.90 : x
  2. Step 2: Convert to fraction form
    2,099.44/3,149.72 = 1,869.90/x
  3. Step 3: Cross multiply
    2,099.44x = 3,149.72 × 1,869.90
  4. Step 4: Simplify right side
    2,099.44x = 5,889,665.00
  5. Step 5: Solve for x
    x = 5,889,665.00/2,099.44
  6. Step 6: Final answer
    x = 2,805.36

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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.