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Finding the Fourth Proportional to 38,400, 52,992 and 20,736

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Solution

The fourth proportional to 38,400, 52,992 and 20,736 is: 28,615.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,400 : 52,992 = 20,736 : x
  2. Step 2: Convert to fraction form
    38,400/52,992 = 20,736/x
  3. Step 3: Cross multiply
    38,400x = 52,992 × 20,736
  4. Step 4: Simplify right side
    38,400x = 1,098,842,112
  5. Step 5: Solve for x
    x = 1,098,842,112/38,400
  6. Step 6: Final answer
    x = 28,615.68

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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.