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Finding the Fourth Proportional to 2,039.97, 2,811.87 and 1,375.67

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Solution

The fourth proportional to 2,039.97, 2,811.87 and 1,375.67 is: 1,896.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,039.97 : 2,811.87 = 1,375.67 : x
  2. Step 2: Convert to fraction form
    2,039.97/2,811.87 = 1,375.67/x
  3. Step 3: Cross multiply
    2,039.97x = 2,811.87 × 1,375.67
  4. Step 4: Simplify right side
    2,039.97x = 3,868,212.23
  5. Step 5: Solve for x
    x = 3,868,212.23/2,039.97
  6. Step 6: Final answer
    x = 1,896.21

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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.