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Finding the Fourth Proportional to 3,284.88, 4,922.54 and 1,639.17

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Solution

The fourth proportional to 3,284.88, 4,922.54 and 1,639.17 is: 2,456.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,284.88 : 4,922.54 = 1,639.17 : x
  2. Step 2: Convert to fraction form
    3,284.88/4,922.54 = 1,639.17/x
  3. Step 3: Cross multiply
    3,284.88x = 4,922.54 × 1,639.17
  4. Step 4: Simplify right side
    3,284.88x = 8,068,871.70
  5. Step 5: Solve for x
    x = 8,068,871.70/3,284.88
  6. Step 6: Final answer
    x = 2,456.37

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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.