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Finding the Fourth Proportional to 3,167.63, 4,749.83 and 1,687.69

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Solution

The fourth proportional to 3,167.63, 4,749.83 and 1,687.69 is: 2,530.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,167.63 : 4,749.83 = 1,687.69 : x
  2. Step 2: Convert to fraction form
    3,167.63/4,749.83 = 1,687.69/x
  3. Step 3: Cross multiply
    3,167.63x = 4,749.83 × 1,687.69
  4. Step 4: Simplify right side
    3,167.63x = 8,016,215.33
  5. Step 5: Solve for x
    x = 8,016,215.33/3,167.63
  6. Step 6: Final answer
    x = 2,530.67

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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.