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Finding the Fourth Proportional to 5,648.28, 7,795.08 and 3,290.28

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Solution

The fourth proportional to 5,648.28, 7,795.08 and 3,290.28 is: 4,540.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,648.28 : 7,795.08 = 3,290.28 : x
  2. Step 2: Convert to fraction form
    5,648.28/7,795.08 = 3,290.28/x
  3. Step 3: Cross multiply
    5,648.28x = 7,795.08 × 3,290.28
  4. Step 4: Simplify right side
    5,648.28x = 25,647,995.82
  5. Step 5: Solve for x
    x = 25,647,995.82/5,648.28
  6. Step 6: Final answer
    x = 4,540.85

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