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Finding the Fourth Proportional to 3,984.25, 5,975.40 and 1,351.69

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Solution

The fourth proportional to 3,984.25, 5,975.40 and 1,351.69 is: 2,027.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,984.25 : 5,975.40 = 1,351.69 : x
  2. Step 2: Convert to fraction form
    3,984.25/5,975.40 = 1,351.69/x
  3. Step 3: Cross multiply
    3,984.25x = 5,975.40 × 1,351.69
  4. Step 4: Simplify right side
    3,984.25x = 8,076,888.43
  5. Step 5: Solve for x
    x = 8,076,888.43/3,984.25
  6. Step 6: Final answer
    x = 2,027.20

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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.