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Finding the Fourth Proportional to 3,197.67, 4,796.73 and 857.67

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Solution

The fourth proportional to 3,197.67, 4,796.73 and 857.67 is: 1,286.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197.67 : 4,796.73 = 857.67 : x
  2. Step 2: Convert to fraction form
    3,197.67/4,796.73 = 857.67/x
  3. Step 3: Cross multiply
    3,197.67x = 4,796.73 × 857.67
  4. Step 4: Simplify right side
    3,197.67x = 4,114,011.42
  5. Step 5: Solve for x
    x = 4,114,011.42/3,197.67
  6. Step 6: Final answer
    x = 1,286.57

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1.5x scale

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.