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Finding the Fourth Proportional to 8,134.40, 12,201.60 and 6,822.20

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Solution

The fourth proportional to 8,134.40, 12,201.60 and 6,822.20 is: 10,233.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,134.40 : 12,201.60 = 6,822.20 : x
  2. Step 2: Convert to fraction form
    8,134.40/12,201.60 = 6,822.20/x
  3. Step 3: Cross multiply
    8,134.40x = 12,201.60 × 6,822.20
  4. Step 4: Simplify right side
    8,134.40x = 83,241,755.52
  5. Step 5: Solve for x
    x = 83,241,755.52/8,134.40
  6. Step 6: Final answer
    x = 10,233.30

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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.