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Finding the Fourth Proportional to 3,631, 5,010.78 and 1,975

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Solution

The fourth proportional to 3,631, 5,010.78 and 1,975 is: 2,725.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,631 : 5,010.78 = 1,975 : x
  2. Step 2: Convert to fraction form
    3,631/5,010.78 = 1,975/x
  3. Step 3: Cross multiply
    3,631x = 5,010.78 × 1,975
  4. Step 4: Simplify right side
    3,631x = 9,896,290.50
  5. Step 5: Solve for x
    x = 9,896,290.50/3,631
  6. Step 6: Final answer
    x = 2,725.50

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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.