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Finding the Fourth Proportional to 22,086, 30,478.68 and 12,150

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Solution

The fourth proportional to 22,086, 30,478.68 and 12,150 is: 16,767

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,086 : 30,478.68 = 12,150 : x
  2. Step 2: Convert to fraction form
    22,086/30,478.68 = 12,150/x
  3. Step 3: Cross multiply
    22,086x = 30,478.68 × 12,150
  4. Step 4: Simplify right side
    22,086x = 370,315,962
  5. Step 5: Solve for x
    x = 370,315,962/22,086
  6. Step 6: Final answer
    x = 16,767

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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.