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Finding the Fourth Proportional to 3,676, 5,072.88 and 2,020

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Solution

The fourth proportional to 3,676, 5,072.88 and 2,020 is: 2,787.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,676 : 5,072.88 = 2,020 : x
  2. Step 2: Convert to fraction form
    3,676/5,072.88 = 2,020/x
  3. Step 3: Cross multiply
    3,676x = 5,072.88 × 2,020
  4. Step 4: Simplify right side
    3,676x = 10,247,217.60
  5. Step 5: Solve for x
    x = 10,247,217.60/3,676
  6. Step 6: Final answer
    x = 2,787.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.