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Finding the Fourth Proportional to 3,283.73, 4,921.48 and 1,640.73

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Solution

The fourth proportional to 3,283.73, 4,921.48 and 1,640.73 is: 2,459.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,283.73 : 4,921.48 = 1,640.73 : x
  2. Step 2: Convert to fraction form
    3,283.73/4,921.48 = 1,640.73/x
  3. Step 3: Cross multiply
    3,283.73x = 4,921.48 × 1,640.73
  4. Step 4: Simplify right side
    3,283.73x = 8,074,815.78
  5. Step 5: Solve for x
    x = 8,074,815.78/3,283.73
  6. Step 6: Final answer
    x = 2,459.04

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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.