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Finding the Fourth Proportional to 5,442, 8,163.04 and 1,338

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Solution

The fourth proportional to 5,442, 8,163.04 and 1,338 is: 2,007.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,442 : 8,163.04 = 1,338 : x
  2. Step 2: Convert to fraction form
    5,442/8,163.04 = 1,338/x
  3. Step 3: Cross multiply
    5,442x = 8,163.04 × 1,338
  4. Step 4: Simplify right side
    5,442x = 10,922,147.52
  5. Step 5: Solve for x
    x = 10,922,147.52/5,442
  6. Step 6: Final answer
    x = 2,007.01

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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.