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Finding the Fourth Proportional to 5,772.44, 7,960.74 and 3,782.28

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Solution

The fourth proportional to 5,772.44, 7,960.74 and 3,782.28 is: 5,216.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,772.44 : 7,960.74 = 3,782.28 : x
  2. Step 2: Convert to fraction form
    5,772.44/7,960.74 = 3,782.28/x
  3. Step 3: Cross multiply
    5,772.44x = 7,960.74 × 3,782.28
  4. Step 4: Simplify right side
    5,772.44x = 30,109,747.69
  5. Step 5: Solve for x
    x = 30,109,747.69/5,772.44
  6. Step 6: Final answer
    x = 5,216.12

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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.