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Finding the Fourth Proportional to 3,282.94, 4,921.80 and 1,638.64

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Solution

The fourth proportional to 3,282.94, 4,921.80 and 1,638.64 is: 2,456.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,282.94 : 4,921.80 = 1,638.64 : x
  2. Step 2: Convert to fraction form
    3,282.94/4,921.80 = 1,638.64/x
  3. Step 3: Cross multiply
    3,282.94x = 4,921.80 × 1,638.64
  4. Step 4: Simplify right side
    3,282.94x = 8,065,058.35
  5. Step 5: Solve for x
    x = 8,065,058.35/3,282.94
  6. Step 6: Final answer
    x = 2,456.66

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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.