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Finding the Fourth Proportional to 22,608, 31,200 and 12,672

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Solution

The fourth proportional to 22,608, 31,200 and 12,672 is: 17,487.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,608 : 31,200 = 12,672 : x
  2. Step 2: Convert to fraction form
    22,608/31,200 = 12,672/x
  3. Step 3: Cross multiply
    22,608x = 31,200 × 12,672
  4. Step 4: Simplify right side
    22,608x = 395,366,400
  5. Step 5: Solve for x
    x = 395,366,400/22,608
  6. Step 6: Final answer
    x = 17,487.90

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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.