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Finding the Fourth Proportional to 4,400, 6,600.54 and 1,322

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Solution

The fourth proportional to 4,400, 6,600.54 and 1,322 is: 1,983.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,400 : 6,600.54 = 1,322 : x
  2. Step 2: Convert to fraction form
    4,400/6,600.54 = 1,322/x
  3. Step 3: Cross multiply
    4,400x = 6,600.54 × 1,322
  4. Step 4: Simplify right side
    4,400x = 8,725,913.88
  5. Step 5: Solve for x
    x = 8,725,913.88/4,400
  6. Step 6: Final answer
    x = 1,983.16

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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.