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Finding the Fourth Proportional to 3,198.17, 4,797.21 and 858.11

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Solution

The fourth proportional to 3,198.17, 4,797.21 and 858.11 is: 1,287.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.17 : 4,797.21 = 858.11 : x
  2. Step 2: Convert to fraction form
    3,198.17/4,797.21 = 858.11/x
  3. Step 3: Cross multiply
    3,198.17x = 4,797.21 × 858.11
  4. Step 4: Simplify right side
    3,198.17x = 4,116,509.89
  5. Step 5: Solve for x
    x = 4,116,509.89/3,198.17
  6. Step 6: Final answer
    x = 1,287.15

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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.