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Finding the Fourth Proportional to 5,190.78, 7,786.20 and 2,997.60

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Solution

The fourth proportional to 5,190.78, 7,786.20 and 2,997.60 is: 4,496.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,190.78 : 7,786.20 = 2,997.60 : x
  2. Step 2: Convert to fraction form
    5,190.78/7,786.20 = 2,997.60/x
  3. Step 3: Cross multiply
    5,190.78x = 7,786.20 × 2,997.60
  4. Step 4: Simplify right side
    5,190.78x = 23,339,913.12
  5. Step 5: Solve for x
    x = 23,339,913.12/5,190.78
  6. Step 6: Final answer
    x = 4,496.42

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1.5x scale

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.