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Finding the Fourth Proportional to 2,813.06, 3,882.03 and 1,571.06

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Solution

The fourth proportional to 2,813.06, 3,882.03 and 1,571.06 is: 2,168.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,813.06 : 3,882.03 = 1,571.06 : x
  2. Step 2: Convert to fraction form
    2,813.06/3,882.03 = 1,571.06/x
  3. Step 3: Cross multiply
    2,813.06x = 3,882.03 × 1,571.06
  4. Step 4: Simplify right side
    2,813.06x = 6,098,905.87
  5. Step 5: Solve for x
    x = 6,098,905.87/2,813.06
  6. Step 6: Final answer
    x = 2,168.07

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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.