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Finding the Fourth Proportional to 4,415.52, 6,083.78 and 3,296

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Solution

The fourth proportional to 4,415.52, 6,083.78 and 3,296 is: 4,541.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,415.52 : 6,083.78 = 3,296 : x
  2. Step 2: Convert to fraction form
    4,415.52/6,083.78 = 3,296/x
  3. Step 3: Cross multiply
    4,415.52x = 6,083.78 × 3,296
  4. Step 4: Simplify right side
    4,415.52x = 20,052,138.88
  5. Step 5: Solve for x
    x = 20,052,138.88/4,415.52
  6. Step 6: Final answer
    x = 4,541.29

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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.