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Finding the Fourth Proportional to 6,812.58, 10,220.49 and 2,861.67

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Solution

The fourth proportional to 6,812.58, 10,220.49 and 2,861.67 is: 4,293.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,812.58 : 10,220.49 = 2,861.67 : x
  2. Step 2: Convert to fraction form
    6,812.58/10,220.49 = 2,861.67/x
  3. Step 3: Cross multiply
    6,812.58x = 10,220.49 × 2,861.67
  4. Step 4: Simplify right side
    6,812.58x = 29,247,669.62
  5. Step 5: Solve for x
    x = 29,247,669.62/6,812.58
  6. Step 6: Final answer
    x = 4,293.19

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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.