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Finding the Fourth Proportional to 6,220.50, 8,584.46 and 3,426

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Solution

The fourth proportional to 6,220.50, 8,584.46 and 3,426 is: 4,727.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,220.50 : 8,584.46 = 3,426 : x
  2. Step 2: Convert to fraction form
    6,220.50/8,584.46 = 3,426/x
  3. Step 3: Cross multiply
    6,220.50x = 8,584.46 × 3,426
  4. Step 4: Simplify right side
    6,220.50x = 29,410,342.83
  5. Step 5: Solve for x
    x = 29,410,342.83/6,220.50
  6. Step 6: Final answer
    x = 4,727.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.