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Finding the Fourth Proportional to 3,896.84, 5,809.17 and 3,836.90

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Solution

The fourth proportional to 3,896.84, 5,809.17 and 3,836.90 is: 5,719.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,896.84 : 5,809.17 = 3,836.90 : x
  2. Step 2: Convert to fraction form
    3,896.84/5,809.17 = 3,836.90/x
  3. Step 3: Cross multiply
    3,896.84x = 5,809.17 × 3,836.90
  4. Step 4: Simplify right side
    3,896.84x = 22,289,175.33
  5. Step 5: Solve for x
    x = 22,289,175.33/3,896.84
  6. Step 6: Final answer
    x = 5,719.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.