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Finding the Fourth Proportional to 3,208.66, 4,812.03 and 1,359.74

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Solution

The fourth proportional to 3,208.66, 4,812.03 and 1,359.74 is: 2,039.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,208.66 : 4,812.03 = 1,359.74 : x
  2. Step 2: Convert to fraction form
    3,208.66/4,812.03 = 1,359.74/x
  3. Step 3: Cross multiply
    3,208.66x = 4,812.03 × 1,359.74
  4. Step 4: Simplify right side
    3,208.66x = 6,543,121.70
  5. Step 5: Solve for x
    x = 6,543,121.70/3,208.66
  6. Step 6: Final answer
    x = 2,039.21

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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.