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Finding the Fourth Proportional to 7,692.72, 11,523.60 and 5,344.80

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Solution

The fourth proportional to 7,692.72, 11,523.60 and 5,344.80 is: 8,006.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692.72 : 11,523.60 = 5,344.80 : x
  2. Step 2: Convert to fraction form
    7,692.72/11,523.60 = 5,344.80/x
  3. Step 3: Cross multiply
    7,692.72x = 11,523.60 × 5,344.80
  4. Step 4: Simplify right side
    7,692.72x = 61,591,337.28
  5. Step 5: Solve for x
    x = 61,591,337.28/7,692.72
  6. Step 6: Final answer
    x = 8,006.44

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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.