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Finding the Fourth Proportional to 8,138.64, 12,205.08 and 4,443.60

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Solution

The fourth proportional to 8,138.64, 12,205.08 and 4,443.60 is: 6,663.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,138.64 : 12,205.08 = 4,443.60 : x
  2. Step 2: Convert to fraction form
    8,138.64/12,205.08 = 4,443.60/x
  3. Step 3: Cross multiply
    8,138.64x = 12,205.08 × 4,443.60
  4. Step 4: Simplify right side
    8,138.64x = 54,234,493.49
  5. Step 5: Solve for x
    x = 54,234,493.49/8,138.64
  6. Step 6: Final answer
    x = 6,663.83

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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.