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Finding the Fourth Proportional to 3,806.72, 5,253 and 2,128.04

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Solution

The fourth proportional to 3,806.72, 5,253 and 2,128.04 is: 2,936.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.72 : 5,253 = 2,128.04 : x
  2. Step 2: Convert to fraction form
    3,806.72/5,253 = 2,128.04/x
  3. Step 3: Cross multiply
    3,806.72x = 5,253 × 2,128.04
  4. Step 4: Simplify right side
    3,806.72x = 11,178,594.12
  5. Step 5: Solve for x
    x = 11,178,594.12/3,806.72
  6. Step 6: Final answer
    x = 2,936.54

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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.