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Finding the Fourth Proportional to 20,138.40, 30,207.60 and 16,882.20

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Solution

The fourth proportional to 20,138.40, 30,207.60 and 16,882.20 is: 25,323.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,138.40 : 30,207.60 = 16,882.20 : x
  2. Step 2: Convert to fraction form
    20,138.40/30,207.60 = 16,882.20/x
  3. Step 3: Cross multiply
    20,138.40x = 30,207.60 × 16,882.20
  4. Step 4: Simplify right side
    20,138.40x = 509,970,744.72
  5. Step 5: Solve for x
    x = 509,970,744.72/20,138.40
  6. Step 6: Final answer
    x = 25,323.30

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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.