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Finding the Fourth Proportional to 2,812.66, 4,216.66 and 1,639.78

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Solution

The fourth proportional to 2,812.66, 4,216.66 and 1,639.78 is: 2,458.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,812.66 : 4,216.66 = 1,639.78 : x
  2. Step 2: Convert to fraction form
    2,812.66/4,216.66 = 1,639.78/x
  3. Step 3: Cross multiply
    2,812.66x = 4,216.66 × 1,639.78
  4. Step 4: Simplify right side
    2,812.66x = 6,914,380.09
  5. Step 5: Solve for x
    x = 6,914,380.09/2,812.66
  6. Step 6: Final answer
    x = 2,458.31

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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.