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Finding the Fourth Proportional to 4,761.84, 7,145.28 and 3,198

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Solution

The fourth proportional to 4,761.84, 7,145.28 and 3,198 is: 4,798.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761.84 : 7,145.28 = 3,198 : x
  2. Step 2: Convert to fraction form
    4,761.84/7,145.28 = 3,198/x
  3. Step 3: Cross multiply
    4,761.84x = 7,145.28 × 3,198
  4. Step 4: Simplify right side
    4,761.84x = 22,850,605.44
  5. Step 5: Solve for x
    x = 22,850,605.44/4,761.84
  6. Step 6: Final answer
    x = 4,798.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.