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Finding the Fourth Proportional to 38,468, 53,086 and 20,804

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Solution

The fourth proportional to 38,468, 53,086 and 20,804 is: 28,709.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,468 : 53,086 = 20,804 : x
  2. Step 2: Convert to fraction form
    38,468/53,086 = 20,804/x
  3. Step 3: Cross multiply
    38,468x = 53,086 × 20,804
  4. Step 4: Simplify right side
    38,468x = 1,104,401,144
  5. Step 5: Solve for x
    x = 1,104,401,144/38,468
  6. Step 6: Final answer
    x = 28,709.61

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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.