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Finding the Fourth Proportional to 2,099.05, 3,147.80 and 617.90

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Solution

The fourth proportional to 2,099.05, 3,147.80 and 617.90 is: 926.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.05 : 3,147.80 = 617.90 : x
  2. Step 2: Convert to fraction form
    2,099.05/3,147.80 = 617.90/x
  3. Step 3: Cross multiply
    2,099.05x = 3,147.80 × 617.90
  4. Step 4: Simplify right side
    2,099.05x = 1,945,006.79
  5. Step 5: Solve for x
    x = 1,945,006.79/2,099.05
  6. Step 6: Final answer
    x = 926.61

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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.