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Finding the Fourth Proportional to 38,568.64, 57,796.80 and 18,824.80

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Solution

The fourth proportional to 38,568.64, 57,796.80 and 18,824.80 is: 28,209.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,568.64 : 57,796.80 = 18,824.80 : x
  2. Step 2: Convert to fraction form
    38,568.64/57,796.80 = 18,824.80/x
  3. Step 3: Cross multiply
    38,568.64x = 57,796.80 × 18,824.80
  4. Step 4: Simplify right side
    38,568.64x = 1,088,013,200.64
  5. Step 5: Solve for x
    x = 1,088,013,200.64/38,568.64
  6. Step 6: Final answer
    x = 28,209.79

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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.