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Finding the Fourth Proportional to 3,809.99, 5,711.09 and 2,163.06

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Solution

The fourth proportional to 3,809.99, 5,711.09 and 2,163.06 is: 3,242.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.99 : 5,711.09 = 2,163.06 : x
  2. Step 2: Convert to fraction form
    3,809.99/5,711.09 = 2,163.06/x
  3. Step 3: Cross multiply
    3,809.99x = 5,711.09 × 2,163.06
  4. Step 4: Simplify right side
    3,809.99x = 12,353,419.52
  5. Step 5: Solve for x
    x = 12,353,419.52/3,809.99
  6. Step 6: Final answer
    x = 3,242.38

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1.5x scale

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.