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Finding the Fourth Proportional to 3,920.50, 5,902.13 and 3,576.04

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Solution

The fourth proportional to 3,920.50, 5,902.13 and 3,576.04 is: 5,383.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,920.50 : 5,902.13 = 3,576.04 : x
  2. Step 2: Convert to fraction form
    3,920.50/5,902.13 = 3,576.04/x
  3. Step 3: Cross multiply
    3,920.50x = 5,902.13 × 3,576.04
  4. Step 4: Simplify right side
    3,920.50x = 21,106,252.97
  5. Step 5: Solve for x
    x = 21,106,252.97/3,920.50
  6. Step 6: Final answer
    x = 5,383.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.