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Finding the Fourth Proportional to 3,827, 5,281.26 and 2,171

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Solution

The fourth proportional to 3,827, 5,281.26 and 2,171 is: 2,995.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827 : 5,281.26 = 2,171 : x
  2. Step 2: Convert to fraction form
    3,827/5,281.26 = 2,171/x
  3. Step 3: Cross multiply
    3,827x = 5,281.26 × 2,171
  4. Step 4: Simplify right side
    3,827x = 11,465,615.46
  5. Step 5: Solve for x
    x = 11,465,615.46/3,827
  6. Step 6: Final answer
    x = 2,995.98

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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.