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Finding the Fourth Proportional to 8,138.05, 12,207.07 and 7,722.52

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Solution

The fourth proportional to 8,138.05, 12,207.07 and 7,722.52 is: 11,583.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,138.05 : 12,207.07 = 7,722.52 : x
  2. Step 2: Convert to fraction form
    8,138.05/12,207.07 = 7,722.52/x
  3. Step 3: Cross multiply
    8,138.05x = 12,207.07 × 7,722.52
  4. Step 4: Simplify right side
    8,138.05x = 94,269,281.18
  5. Step 5: Solve for x
    x = 94,269,281.18/8,138.05
  6. Step 6: Final answer
    x = 11,583.77

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.