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Finding the Fourth Proportional to 38,203.20, 57,304.80 and 21,819.20

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Solution

The fourth proportional to 38,203.20, 57,304.80 and 21,819.20 is: 32,728.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,203.20 : 57,304.80 = 21,819.20 : x
  2. Step 2: Convert to fraction form
    38,203.20/57,304.80 = 21,819.20/x
  3. Step 3: Cross multiply
    38,203.20x = 57,304.80 × 21,819.20
  4. Step 4: Simplify right side
    38,203.20x = 1,250,344,892.16
  5. Step 5: Solve for x
    x = 1,250,344,892.16/38,203.20
  6. Step 6: Final answer
    x = 32,728.80

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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.