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Finding the Fourth Proportional to 3,727, 5,143.26 and 2,071

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Solution

The fourth proportional to 3,727, 5,143.26 and 2,071 is: 2,857.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,727 : 5,143.26 = 2,071 : x
  2. Step 2: Convert to fraction form
    3,727/5,143.26 = 2,071/x
  3. Step 3: Cross multiply
    3,727x = 5,143.26 × 2,071
  4. Step 4: Simplify right side
    3,727x = 10,651,691.46
  5. Step 5: Solve for x
    x = 10,651,691.46/3,727
  6. Step 6: Final answer
    x = 2,857.98

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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.