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Finding the Fourth Proportional to 38,405, 52,998.90 and 20,741

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Solution

The fourth proportional to 38,405, 52,998.90 and 20,741 is: 28,622.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,405 : 52,998.90 = 20,741 : x
  2. Step 2: Convert to fraction form
    38,405/52,998.90 = 20,741/x
  3. Step 3: Cross multiply
    38,405x = 52,998.90 × 20,741
  4. Step 4: Simplify right side
    38,405x = 1,099,250,184.90
  5. Step 5: Solve for x
    x = 1,099,250,184.90/38,405
  6. Step 6: Final answer
    x = 28,622.58

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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.