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Finding the Fourth Proportional to 8,115.78, 11,199.72 and 4,389.78

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Solution

The fourth proportional to 8,115.78, 11,199.72 and 4,389.78 is: 6,057.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,115.78 : 11,199.72 = 4,389.78 : x
  2. Step 2: Convert to fraction form
    8,115.78/11,199.72 = 4,389.78/x
  3. Step 3: Cross multiply
    8,115.78x = 11,199.72 × 4,389.78
  4. Step 4: Simplify right side
    8,115.78x = 49,164,306.86
  5. Step 5: Solve for x
    x = 49,164,306.86/8,115.78
  6. Step 6: Final answer
    x = 6,057.87

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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.