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Finding the Fourth Proportional to 3,072.78, 4,608.72 and 1,512.37

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Solution

The fourth proportional to 3,072.78, 4,608.72 and 1,512.37 is: 2,268.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,072.78 : 4,608.72 = 1,512.37 : x
  2. Step 2: Convert to fraction form
    3,072.78/4,608.72 = 1,512.37/x
  3. Step 3: Cross multiply
    3,072.78x = 4,608.72 × 1,512.37
  4. Step 4: Simplify right side
    3,072.78x = 6,970,089.87
  5. Step 5: Solve for x
    x = 6,970,089.87/3,072.78
  6. Step 6: Final answer
    x = 2,268.33

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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.