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Finding the Fourth Proportional to 3,782.98, 5,677.26 and 1,910.67

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Solution

The fourth proportional to 3,782.98, 5,677.26 and 1,910.67 is: 2,867.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.98 : 5,677.26 = 1,910.67 : x
  2. Step 2: Convert to fraction form
    3,782.98/5,677.26 = 1,910.67/x
  3. Step 3: Cross multiply
    3,782.98x = 5,677.26 × 1,910.67
  4. Step 4: Simplify right side
    3,782.98x = 10,847,352.66
  5. Step 5: Solve for x
    x = 10,847,352.66/3,782.98
  6. Step 6: Final answer
    x = 2,867.41

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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.