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Finding the Fourth Proportional to 8,961.62, 12,388.68 and 8,214.39

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Solution

The fourth proportional to 8,961.62, 12,388.68 and 8,214.39 is: 11,355.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,961.62 : 12,388.68 = 8,214.39 : x
  2. Step 2: Convert to fraction form
    8,961.62/12,388.68 = 8,214.39/x
  3. Step 3: Cross multiply
    8,961.62x = 12,388.68 × 8,214.39
  4. Step 4: Simplify right side
    8,961.62x = 101,765,449.11
  5. Step 5: Solve for x
    x = 101,765,449.11/8,961.62
  6. Step 6: Final answer
    x = 11,355.70

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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.