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Finding the Fourth Proportional to 4,997.55, 6,906.50 and 4,099.85

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Solution

The fourth proportional to 4,997.55, 6,906.50 and 4,099.85 is: 5,665.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,997.55 : 6,906.50 = 4,099.85 : x
  2. Step 2: Convert to fraction form
    4,997.55/6,906.50 = 4,099.85/x
  3. Step 3: Cross multiply
    4,997.55x = 6,906.50 × 4,099.85
  4. Step 4: Simplify right side
    4,997.55x = 28,315,614.03
  5. Step 5: Solve for x
    x = 28,315,614.03/4,997.55
  6. Step 6: Final answer
    x = 5,665.90

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1.5x scale

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.