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Finding the Fourth Proportional to 3,198, 4,796.98 and 889.50

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Solution

The fourth proportional to 3,198, 4,796.98 and 889.50 is: 1,334.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198 : 4,796.98 = 889.50 : x
  2. Step 2: Convert to fraction form
    3,198/4,796.98 = 889.50/x
  3. Step 3: Cross multiply
    3,198x = 4,796.98 × 889.50
  4. Step 4: Simplify right side
    3,198x = 4,266,913.71
  5. Step 5: Solve for x
    x = 4,266,913.71/3,198
  6. Step 6: Final answer
    x = 1,334.24

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Why These Related Problems?

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