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Finding the Fourth Proportional to 4,084, 5,635.97 and 2,221

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Solution

The fourth proportional to 4,084, 5,635.97 and 2,221 is: 3,065.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,084 : 5,635.97 = 2,221 : x
  2. Step 2: Convert to fraction form
    4,084/5,635.97 = 2,221/x
  3. Step 3: Cross multiply
    4,084x = 5,635.97 × 2,221
  4. Step 4: Simplify right side
    4,084x = 12,517,489.37
  5. Step 5: Solve for x
    x = 12,517,489.37/4,084
  6. Step 6: Final answer
    x = 3,065.01

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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.