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Finding the Fourth Proportional to 22,009.20, 30,372 and 12,449.40

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Solution

The fourth proportional to 22,009.20, 30,372 and 12,449.40 is: 17,179.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,009.20 : 30,372 = 12,449.40 : x
  2. Step 2: Convert to fraction form
    22,009.20/30,372 = 12,449.40/x
  3. Step 3: Cross multiply
    22,009.20x = 30,372 × 12,449.40
  4. Step 4: Simplify right side
    22,009.20x = 378,113,176.80
  5. Step 5: Solve for x
    x = 378,113,176.80/22,009.20
  6. Step 6: Final answer
    x = 17,179.78

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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.