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Finding the Fourth Proportional to 3,975.63, 5,961.50 and 1,201.79

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Solution

The fourth proportional to 3,975.63, 5,961.50 and 1,201.79 is: 1,802.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,975.63 : 5,961.50 = 1,201.79 : x
  2. Step 2: Convert to fraction form
    3,975.63/5,961.50 = 1,201.79/x
  3. Step 3: Cross multiply
    3,975.63x = 5,961.50 × 1,201.79
  4. Step 4: Simplify right side
    3,975.63x = 7,164,435.27
  5. Step 5: Solve for x
    x = 7,164,435.27/3,975.63
  6. Step 6: Final answer
    x = 1,802.09

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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.