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Finding the Fourth Proportional to 3,823, 5,275.78 and 2,167

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Solution

The fourth proportional to 3,823, 5,275.78 and 2,167 is: 2,990.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,823 : 5,275.78 = 2,167 : x
  2. Step 2: Convert to fraction form
    3,823/5,275.78 = 2,167/x
  3. Step 3: Cross multiply
    3,823x = 5,275.78 × 2,167
  4. Step 4: Simplify right side
    3,823x = 11,432,615.26
  5. Step 5: Solve for x
    x = 11,432,615.26/3,823
  6. Step 6: Final answer
    x = 2,990.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.