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Finding the Fourth Proportional to 7,028.44, 9,698.52 and 3,884.20

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Solution

The fourth proportional to 7,028.44, 9,698.52 and 3,884.20 is: 5,359.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,028.44 : 9,698.52 = 3,884.20 : x
  2. Step 2: Convert to fraction form
    7,028.44/9,698.52 = 3,884.20/x
  3. Step 3: Cross multiply
    7,028.44x = 9,698.52 × 3,884.20
  4. Step 4: Simplify right side
    7,028.44x = 37,670,991.38
  5. Step 5: Solve for x
    x = 37,670,991.38/7,028.44
  6. Step 6: Final answer
    x = 5,359.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.