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Finding the Fourth Proportional to 3,208.74, 4,812.63 and 2,664.42

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Solution

The fourth proportional to 3,208.74, 4,812.63 and 2,664.42 is: 3,996.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,208.74 : 4,812.63 = 2,664.42 : x
  2. Step 2: Convert to fraction form
    3,208.74/4,812.63 = 2,664.42/x
  3. Step 3: Cross multiply
    3,208.74x = 4,812.63 × 2,664.42
  4. Step 4: Simplify right side
    3,208.74x = 12,822,867.62
  5. Step 5: Solve for x
    x = 12,822,867.62/3,208.74
  6. Step 6: Final answer
    x = 3,996.23

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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.