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Finding the Fourth Proportional to 3,250, 4,875.72 and 1,198

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Solution

The fourth proportional to 3,250, 4,875.72 and 1,198 is: 1,797.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,250 : 4,875.72 = 1,198 : x
  2. Step 2: Convert to fraction form
    3,250/4,875.72 = 1,198/x
  3. Step 3: Cross multiply
    3,250x = 4,875.72 × 1,198
  4. Step 4: Simplify right side
    3,250x = 5,841,112.56
  5. Step 5: Solve for x
    x = 5,841,112.56/3,250
  6. Step 6: Final answer
    x = 1,797.27

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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.