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Finding the Fourth Proportional to 6,384, 9,576 and 1,767

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Solution

The fourth proportional to 6,384, 9,576 and 1,767 is: 2,650.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,384 : 9,576 = 1,767 : x
  2. Step 2: Convert to fraction form
    6,384/9,576 = 1,767/x
  3. Step 3: Cross multiply
    6,384x = 9,576 × 1,767
  4. Step 4: Simplify right side
    6,384x = 16,920,792
  5. Step 5: Solve for x
    x = 16,920,792/6,384
  6. Step 6: Final answer
    x = 2,650.50

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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.