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Finding the Fourth Proportional to 19,200, 28,800 and 8,256

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Solution

The fourth proportional to 19,200, 28,800 and 8,256 is: 12,384

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,200 : 28,800 = 8,256 : x
  2. Step 2: Convert to fraction form
    19,200/28,800 = 8,256/x
  3. Step 3: Cross multiply
    19,200x = 28,800 × 8,256
  4. Step 4: Simplify right side
    19,200x = 237,772,800
  5. Step 5: Solve for x
    x = 237,772,800/19,200
  6. Step 6: Final answer
    x = 12,384

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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.