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Finding the Fourth Proportional to 3,166.11, 4,749.12 and 857.61

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Solution

The fourth proportional to 3,166.11, 4,749.12 and 857.61 is: 1,286.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166.11 : 4,749.12 = 857.61 : x
  2. Step 2: Convert to fraction form
    3,166.11/4,749.12 = 857.61/x
  3. Step 3: Cross multiply
    3,166.11x = 4,749.12 × 857.61
  4. Step 4: Simplify right side
    3,166.11x = 4,072,892.80
  5. Step 5: Solve for x
    x = 4,072,892.80/3,166.11
  6. Step 6: Final answer
    x = 1,286.40

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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.