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Finding the Fourth Proportional to 8,104, 11,183.52 and 4,378

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Solution

The fourth proportional to 8,104, 11,183.52 and 4,378 is: 6,041.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,104 : 11,183.52 = 4,378 : x
  2. Step 2: Convert to fraction form
    8,104/11,183.52 = 4,378/x
  3. Step 3: Cross multiply
    8,104x = 11,183.52 × 4,378
  4. Step 4: Simplify right side
    8,104x = 48,961,450.56
  5. Step 5: Solve for x
    x = 48,961,450.56/8,104
  6. Step 6: Final answer
    x = 6,041.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.