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Finding the Fourth Proportional to 8,129.70, 12,179.97 and 7,692.30

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Solution

The fourth proportional to 8,129.70, 12,179.97 and 7,692.30 is: 11,524.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,129.70 : 12,179.97 = 7,692.30 : x
  2. Step 2: Convert to fraction form
    8,129.70/12,179.97 = 7,692.30/x
  3. Step 3: Cross multiply
    8,129.70x = 12,179.97 × 7,692.30
  4. Step 4: Simplify right side
    8,129.70x = 93,691,983.23
  5. Step 5: Solve for x
    x = 93,691,983.23/8,129.70
  6. Step 6: Final answer
    x = 11,524.65

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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.