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Finding the Fourth Proportional to 12,109.64, 18,163.96 and 4,213.97

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Solution

The fourth proportional to 12,109.64, 18,163.96 and 4,213.97 is: 6,320.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,109.64 : 18,163.96 = 4,213.97 : x
  2. Step 2: Convert to fraction form
    12,109.64/18,163.96 = 4,213.97/x
  3. Step 3: Cross multiply
    12,109.64x = 18,163.96 × 4,213.97
  4. Step 4: Simplify right side
    12,109.64x = 76,542,270.63
  5. Step 5: Solve for x
    x = 76,542,270.63/12,109.64
  6. Step 6: Final answer
    x = 6,320.77

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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.