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Finding the Fourth Proportional to 2,650.25, 3,975.75 and 801.16

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Solution

The fourth proportional to 2,650.25, 3,975.75 and 801.16 is: 1,201.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,650.25 : 3,975.75 = 801.16 : x
  2. Step 2: Convert to fraction form
    2,650.25/3,975.75 = 801.16/x
  3. Step 3: Cross multiply
    2,650.25x = 3,975.75 × 801.16
  4. Step 4: Simplify right side
    2,650.25x = 3,185,201.93
  5. Step 5: Solve for x
    x = 3,185,201.93/2,650.25
  6. Step 6: Final answer
    x = 1,201.85

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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.