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Finding the Fourth Proportional to 3,892.15, 5,838.28 and 1,811.57

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Solution

The fourth proportional to 3,892.15, 5,838.28 and 1,811.57 is: 2,717.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,892.15 : 5,838.28 = 1,811.57 : x
  2. Step 2: Convert to fraction form
    3,892.15/5,838.28 = 1,811.57/x
  3. Step 3: Cross multiply
    3,892.15x = 5,838.28 × 1,811.57
  4. Step 4: Simplify right side
    3,892.15x = 10,576,419.18
  5. Step 5: Solve for x
    x = 10,576,419.18/3,892.15
  6. Step 6: Final answer
    x = 2,717.37

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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.