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Finding the Fourth Proportional to 8,137.78, 11,230.16 and 5,150.50

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Solution

The fourth proportional to 8,137.78, 11,230.16 and 5,150.50 is: 7,107.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,137.78 : 11,230.16 = 5,150.50 : x
  2. Step 2: Convert to fraction form
    8,137.78/11,230.16 = 5,150.50/x
  3. Step 3: Cross multiply
    8,137.78x = 11,230.16 × 5,150.50
  4. Step 4: Simplify right side
    8,137.78x = 57,840,939.08
  5. Step 5: Solve for x
    x = 57,840,939.08/8,137.78
  6. Step 6: Final answer
    x = 7,107.70

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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.