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Finding the Fourth Proportional to 2,811.81, 3,879.08 and 1,692.12

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Solution

The fourth proportional to 2,811.81, 3,879.08 and 1,692.12 is: 2,334.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,811.81 : 3,879.08 = 1,692.12 : x
  2. Step 2: Convert to fraction form
    2,811.81/3,879.08 = 1,692.12/x
  3. Step 3: Cross multiply
    2,811.81x = 3,879.08 × 1,692.12
  4. Step 4: Simplify right side
    2,811.81x = 6,563,846.17
  5. Step 5: Solve for x
    x = 6,563,846.17/2,811.81
  6. Step 6: Final answer
    x = 2,334.38

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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.