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Finding the Fourth Proportional to 6,940.23, 10,409.67 and 3,819.21

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Solution

The fourth proportional to 6,940.23, 10,409.67 and 3,819.21 is: 5,728.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,940.23 : 10,409.67 = 3,819.21 : x
  2. Step 2: Convert to fraction form
    6,940.23/10,409.67 = 3,819.21/x
  3. Step 3: Cross multiply
    6,940.23x = 10,409.67 × 3,819.21
  4. Step 4: Simplify right side
    6,940.23x = 39,756,715.76
  5. Step 5: Solve for x
    x = 39,756,715.76/6,940.23
  6. Step 6: Final answer
    x = 5,728.44

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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.