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Finding the Fourth Proportional to 2,048.25, 3,072.38 and 680.25

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Solution

The fourth proportional to 2,048.25, 3,072.38 and 680.25 is: 1,020.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.25 : 3,072.38 = 680.25 : x
  2. Step 2: Convert to fraction form
    2,048.25/3,072.38 = 680.25/x
  3. Step 3: Cross multiply
    2,048.25x = 3,072.38 × 680.25
  4. Step 4: Simplify right side
    2,048.25x = 2,089,983.09
  5. Step 5: Solve for x
    x = 2,089,983.09/2,048.25
  6. Step 6: Final answer
    x = 1,020.38

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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.