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Finding the Fourth Proportional to 8,064, 12,096 and 3,200

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Solution

The fourth proportional to 8,064, 12,096 and 3,200 is: 4,800

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,064 : 12,096 = 3,200 : x
  2. Step 2: Convert to fraction form
    8,064/12,096 = 3,200/x
  3. Step 3: Cross multiply
    8,064x = 12,096 × 3,200
  4. Step 4: Simplify right side
    8,064x = 38,707,200
  5. Step 5: Solve for x
    x = 38,707,200/8,064
  6. Step 6: Final answer
    x = 4,800

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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.