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Finding the Fourth Proportional to 11,500.80, 15,859.20 and 8,524.80

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Solution

The fourth proportional to 11,500.80, 15,859.20 and 8,524.80 is: 11,755.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,500.80 : 15,859.20 = 8,524.80 : x
  2. Step 2: Convert to fraction form
    11,500.80/15,859.20 = 8,524.80/x
  3. Step 3: Cross multiply
    11,500.80x = 15,859.20 × 8,524.80
  4. Step 4: Simplify right side
    11,500.80x = 135,196,508.16
  5. Step 5: Solve for x
    x = 135,196,508.16/11,500.80
  6. Step 6: Final answer
    x = 11,755.40

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Half scale
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Double scale
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Similar ratio
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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.