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Finding the Fourth Proportional to 8,049.92, 11,109.96 and 4,692.80

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Solution

The fourth proportional to 8,049.92, 11,109.96 and 4,692.80 is: 6,476.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,049.92 : 11,109.96 = 4,692.80 : x
  2. Step 2: Convert to fraction form
    8,049.92/11,109.96 = 4,692.80/x
  3. Step 3: Cross multiply
    8,049.92x = 11,109.96 × 4,692.80
  4. Step 4: Simplify right side
    8,049.92x = 52,136,820.29
  5. Step 5: Solve for x
    x = 52,136,820.29/8,049.92
  6. Step 6: Final answer
    x = 6,476.69

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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.