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Finding the Fourth Proportional to 28,256, 42,384 and 8,800

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Solution

The fourth proportional to 28,256, 42,384 and 8,800 is: 13,200

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,256 : 42,384 = 8,800 : x
  2. Step 2: Convert to fraction form
    28,256/42,384 = 8,800/x
  3. Step 3: Cross multiply
    28,256x = 42,384 × 8,800
  4. Step 4: Simplify right side
    28,256x = 372,979,200
  5. Step 5: Solve for x
    x = 372,979,200/28,256
  6. Step 6: Final answer
    x = 13,200

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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.