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Finding the Fourth Proportional to 3,713.04, 5,571.72 and 2,789.28

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Solution

The fourth proportional to 3,713.04, 5,571.72 and 2,789.28 is: 4,185.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,713.04 : 5,571.72 = 2,789.28 : x
  2. Step 2: Convert to fraction form
    3,713.04/5,571.72 = 2,789.28/x
  3. Step 3: Cross multiply
    3,713.04x = 5,571.72 × 2,789.28
  4. Step 4: Simplify right side
    3,713.04x = 15,541,087.16
  5. Step 5: Solve for x
    x = 15,541,087.16/3,713.04
  6. Step 6: Final answer
    x = 4,185.54

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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.