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Finding the Fourth Proportional to 8,384.43, 12,571.83 and 3,450

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Solution

The fourth proportional to 8,384.43, 12,571.83 and 3,450 is: 5,173.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,384.43 : 12,571.83 = 3,450 : x
  2. Step 2: Convert to fraction form
    8,384.43/12,571.83 = 3,450/x
  3. Step 3: Cross multiply
    8,384.43x = 12,571.83 × 3,450
  4. Step 4: Simplify right side
    8,384.43x = 43,372,813.50
  5. Step 5: Solve for x
    x = 43,372,813.50/8,384.43
  6. Step 6: Final answer
    x = 5,173.02

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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.