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Finding the Fourth Proportional to 3,166.07, 4,749.11 and 857.57

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Solution

The fourth proportional to 3,166.07, 4,749.11 and 857.57 is: 1,286.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166.07 : 4,749.11 = 857.57 : x
  2. Step 2: Convert to fraction form
    3,166.07/4,749.11 = 857.57/x
  3. Step 3: Cross multiply
    3,166.07x = 4,749.11 × 857.57
  4. Step 4: Simplify right side
    3,166.07x = 4,072,694.26
  5. Step 5: Solve for x
    x = 4,072,694.26/3,166.07
  6. Step 6: Final answer
    x = 1,286.36

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Similar ratio
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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.