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Finding the Fourth Proportional to 38,529, 53,170.02 and 20,865

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Solution

The fourth proportional to 38,529, 53,170.02 and 20,865 is: 28,793.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,529 : 53,170.02 = 20,865 : x
  2. Step 2: Convert to fraction form
    38,529/53,170.02 = 20,865/x
  3. Step 3: Cross multiply
    38,529x = 53,170.02 × 20,865
  4. Step 4: Simplify right side
    38,529x = 1,109,392,467.30
  5. Step 5: Solve for x
    x = 1,109,392,467.30/38,529
  6. Step 6: Final answer
    x = 28,793.70

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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.