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Finding the Fourth Proportional to 8,523.43, 11,753.91 and 7,692.77

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Solution

The fourth proportional to 8,523.43, 11,753.91 and 7,692.77 is: 10,608.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,523.43 : 11,753.91 = 7,692.77 : x
  2. Step 2: Convert to fraction form
    8,523.43/11,753.91 = 7,692.77/x
  3. Step 3: Cross multiply
    8,523.43x = 11,753.91 × 7,692.77
  4. Step 4: Simplify right side
    8,523.43x = 90,420,155.62
  5. Step 5: Solve for x
    x = 90,420,155.62/8,523.43
  6. Step 6: Final answer
    x = 10,608.43

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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.