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Finding the Fourth Proportional to 6,940.50, 10,410.75 and 2,323.62

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Solution

The fourth proportional to 6,940.50, 10,410.75 and 2,323.62 is: 3,485.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,940.50 : 10,410.75 = 2,323.62 : x
  2. Step 2: Convert to fraction form
    6,940.50/10,410.75 = 2,323.62/x
  3. Step 3: Cross multiply
    6,940.50x = 10,410.75 × 2,323.62
  4. Step 4: Simplify right side
    6,940.50x = 24,190,626.92
  5. Step 5: Solve for x
    x = 24,190,626.92/6,940.50
  6. Step 6: Final answer
    x = 3,485.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.