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Finding the Fourth Proportional to 3,893.13, 5,836.41 and 1,812.07

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Solution

The fourth proportional to 3,893.13, 5,836.41 and 1,812.07 is: 2,716.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,893.13 : 5,836.41 = 1,812.07 : x
  2. Step 2: Convert to fraction form
    3,893.13/5,836.41 = 1,812.07/x
  3. Step 3: Cross multiply
    3,893.13x = 5,836.41 × 1,812.07
  4. Step 4: Simplify right side
    3,893.13x = 10,575,983.47
  5. Step 5: Solve for x
    x = 10,575,983.47/3,893.13
  6. Step 6: Final answer
    x = 2,716.58

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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.