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Finding the Fourth Proportional to 3,197.79, 4,796.33 and 858.02

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Solution

The fourth proportional to 3,197.79, 4,796.33 and 858.02 is: 1,286.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197.79 : 4,796.33 = 858.02 : x
  2. Step 2: Convert to fraction form
    3,197.79/4,796.33 = 858.02/x
  3. Step 3: Cross multiply
    3,197.79x = 4,796.33 × 858.02
  4. Step 4: Simplify right side
    3,197.79x = 4,115,318.79
  5. Step 5: Solve for x
    x = 4,115,318.79/3,197.79
  6. Step 6: Final answer
    x = 1,286.93

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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.