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Finding the Fourth Proportional to 12,800, 19,200 and 3,072

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Solution

The fourth proportional to 12,800, 19,200 and 3,072 is: 4,608

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,800 : 19,200 = 3,072 : x
  2. Step 2: Convert to fraction form
    12,800/19,200 = 3,072/x
  3. Step 3: Cross multiply
    12,800x = 19,200 × 3,072
  4. Step 4: Simplify right side
    12,800x = 58,982,400
  5. Step 5: Solve for x
    x = 58,982,400/12,800
  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.