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Finding the Fourth Proportional to 2,099.98, 3,150.78 and 783.73

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Solution

The fourth proportional to 2,099.98, 3,150.78 and 783.73 is: 1,175.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.98 : 3,150.78 = 783.73 : x
  2. Step 2: Convert to fraction form
    2,099.98/3,150.78 = 783.73/x
  3. Step 3: Cross multiply
    2,099.98x = 3,150.78 × 783.73
  4. Step 4: Simplify right side
    2,099.98x = 2,469,360.81
  5. Step 5: Solve for x
    x = 2,469,360.81/2,099.98
  6. Step 6: Final answer
    x = 1,175.90

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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.