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Finding the Fourth Proportional to 2,641.44, 3,962 and 693.64

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Solution

The fourth proportional to 2,641.44, 3,962 and 693.64 is: 1,040.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641.44 : 3,962 = 693.64 : x
  2. Step 2: Convert to fraction form
    2,641.44/3,962 = 693.64/x
  3. Step 3: Cross multiply
    2,641.44x = 3,962 × 693.64
  4. Step 4: Simplify right side
    2,641.44x = 2,748,201.68
  5. Step 5: Solve for x
    x = 2,748,201.68/2,641.44
  6. Step 6: Final answer
    x = 1,040.42

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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.