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Finding the Fourth Proportional to 38,532, 53,174.22 and 20,868

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Solution

The fourth proportional to 38,532, 53,174.22 and 20,868 is: 28,797.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,532 : 53,174.22 = 20,868 : x
  2. Step 2: Convert to fraction form
    38,532/53,174.22 = 20,868/x
  3. Step 3: Cross multiply
    38,532x = 53,174.22 × 20,868
  4. Step 4: Simplify right side
    38,532x = 1,109,639,622.96
  5. Step 5: Solve for x
    x = 1,109,639,622.96/38,532
  6. Step 6: Final answer
    x = 28,797.87

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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.