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Finding the Fourth Proportional to 6,489.82, 9,722.43 and 3,851.75

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Solution

The fourth proportional to 6,489.82, 9,722.43 and 3,851.75 is: 5,770.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,489.82 : 9,722.43 = 3,851.75 : x
  2. Step 2: Convert to fraction form
    6,489.82/9,722.43 = 3,851.75/x
  3. Step 3: Cross multiply
    6,489.82x = 9,722.43 × 3,851.75
  4. Step 4: Simplify right side
    6,489.82x = 37,448,394.06
  5. Step 5: Solve for x
    x = 37,448,394.06/6,489.82
  6. Step 6: Final answer
    x = 5,770.33

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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.