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Finding the Fourth Proportional to 8,800, 13,200.64 and 3,328

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Solution

The fourth proportional to 8,800, 13,200.64 and 3,328 is: 4,992.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,800 : 13,200.64 = 3,328 : x
  2. Step 2: Convert to fraction form
    8,800/13,200.64 = 3,328/x
  3. Step 3: Cross multiply
    8,800x = 13,200.64 × 3,328
  4. Step 4: Simplify right side
    8,800x = 43,931,729.92
  5. Step 5: Solve for x
    x = 43,931,729.92/8,800
  6. Step 6: Final answer
    x = 4,992.24

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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.