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Finding the Fourth Proportional to 10,880, 16,320 and 2,672

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Solution

The fourth proportional to 10,880, 16,320 and 2,672 is: 4,008

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,880 : 16,320 = 2,672 : x
  2. Step 2: Convert to fraction form
    10,880/16,320 = 2,672/x
  3. Step 3: Cross multiply
    10,880x = 16,320 × 2,672
  4. Step 4: Simplify right side
    10,880x = 43,607,040
  5. Step 5: Solve for x
    x = 43,607,040/10,880
  6. Step 6: Final answer
    x = 4,008

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.