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Finding the Fourth Proportional to 38,475.20, 57,712.80 and 21,828.80

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Solution

The fourth proportional to 38,475.20, 57,712.80 and 21,828.80 is: 32,743.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,475.20 : 57,712.80 = 21,828.80 : x
  2. Step 2: Convert to fraction form
    38,475.20/57,712.80 = 21,828.80/x
  3. Step 3: Cross multiply
    38,475.20x = 57,712.80 × 21,828.80
  4. Step 4: Simplify right side
    38,475.20x = 1,259,801,168.64
  5. Step 5: Solve for x
    x = 1,259,801,168.64/38,475.20
  6. Step 6: Final answer
    x = 32,743.20

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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.