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Finding the Fourth Proportional to 3,775, 5,209.43 and 2,096.34

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Solution

The fourth proportional to 3,775, 5,209.43 and 2,096.34 is: 2,892.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775 : 5,209.43 = 2,096.34 : x
  2. Step 2: Convert to fraction form
    3,775/5,209.43 = 2,096.34/x
  3. Step 3: Cross multiply
    3,775x = 5,209.43 × 2,096.34
  4. Step 4: Simplify right side
    3,775x = 10,920,736.49
  5. Step 5: Solve for x
    x = 10,920,736.49/3,775
  6. Step 6: Final answer
    x = 2,892.91

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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.