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Finding the Fourth Proportional to 5,201.78, 7,800.11 and 2,980.27

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Solution

The fourth proportional to 5,201.78, 7,800.11 and 2,980.27 is: 4,468.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,201.78 : 7,800.11 = 2,980.27 : x
  2. Step 2: Convert to fraction form
    5,201.78/7,800.11 = 2,980.27/x
  3. Step 3: Cross multiply
    5,201.78x = 7,800.11 × 2,980.27
  4. Step 4: Simplify right side
    5,201.78x = 23,246,439.85
  5. Step 5: Solve for x
    x = 23,246,439.85/5,201.78
  6. Step 6: Final answer
    x = 4,468.94

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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.