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Finding the Fourth Proportional to 11,280, 16,920 and 3,072

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Solution

The fourth proportional to 11,280, 16,920 and 3,072 is: 4,608

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,280 : 16,920 = 3,072 : x
  2. Step 2: Convert to fraction form
    11,280/16,920 = 3,072/x
  3. Step 3: Cross multiply
    11,280x = 16,920 × 3,072
  4. Step 4: Simplify right side
    11,280x = 51,978,240
  5. Step 5: Solve for x
    x = 51,978,240/11,280
  6. Step 6: Final answer
    x = 4,608

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Why These Related Problems?

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