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Finding the Fourth Proportional to 29,976, 41,366.88 and 16,728

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Solution

The fourth proportional to 29,976, 41,366.88 and 16,728 is: 23,084.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,976 : 41,366.88 = 16,728 : x
  2. Step 2: Convert to fraction form
    29,976/41,366.88 = 16,728/x
  3. Step 3: Cross multiply
    29,976x = 41,366.88 × 16,728
  4. Step 4: Simplify right side
    29,976x = 691,985,168.64
  5. Step 5: Solve for x
    x = 691,985,168.64/29,976
  6. Step 6: Final answer
    x = 23,084.64

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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.