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Finding the Fourth Proportional to 6,738.76, 10,109.76 and 2,121.76

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Solution

The fourth proportional to 6,738.76, 10,109.76 and 2,121.76 is: 3,183.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,738.76 : 10,109.76 = 2,121.76 : x
  2. Step 2: Convert to fraction form
    6,738.76/10,109.76 = 2,121.76/x
  3. Step 3: Cross multiply
    6,738.76x = 10,109.76 × 2,121.76
  4. Step 4: Simplify right side
    6,738.76x = 21,450,484.38
  5. Step 5: Solve for x
    x = 21,450,484.38/6,738.76
  6. Step 6: Final answer
    x = 3,183.15

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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.