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Finding the Fourth Proportional to 3,608.56, 5,412.80 and 2,049.28

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Solution

The fourth proportional to 3,608.56, 5,412.80 and 2,049.28 is: 3,073.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,608.56 : 5,412.80 = 2,049.28 : x
  2. Step 2: Convert to fraction form
    3,608.56/5,412.80 = 2,049.28/x
  3. Step 3: Cross multiply
    3,608.56x = 5,412.80 × 2,049.28
  4. Step 4: Simplify right side
    3,608.56x = 11,092,342.78
  5. Step 5: Solve for x
    x = 11,092,342.78/3,608.56
  6. Step 6: Final answer
    x = 3,073.90

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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.