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Finding the Fourth Proportional to 8,138.76, 11,231.50 and 4,412.76

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Solution

The fourth proportional to 8,138.76, 11,231.50 and 4,412.76 is: 6,089.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,138.76 : 11,231.50 = 4,412.76 : x
  2. Step 2: Convert to fraction form
    8,138.76/11,231.50 = 4,412.76/x
  3. Step 3: Cross multiply
    8,138.76x = 11,231.50 × 4,412.76
  4. Step 4: Simplify right side
    8,138.76x = 49,561,913.94
  5. Step 5: Solve for x
    x = 49,561,913.94/8,138.76
  6. Step 6: Final answer
    x = 6,089.61

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Half scale
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Double scale
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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.