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Finding the Fourth Proportional to 6,736, 10,104 and 2,119

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Solution

The fourth proportional to 6,736, 10,104 and 2,119 is: 3,178.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,736 : 10,104 = 2,119 : x
  2. Step 2: Convert to fraction form
    6,736/10,104 = 2,119/x
  3. Step 3: Cross multiply
    6,736x = 10,104 × 2,119
  4. Step 4: Simplify right side
    6,736x = 21,410,376
  5. Step 5: Solve for x
    x = 21,410,376/6,736
  6. Step 6: Final answer
    x = 3,178.50

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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.