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Finding the Fourth Proportional to 2,811.93, 3,880.71 and 1,692.87

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Solution

The fourth proportional to 2,811.93, 3,880.71 and 1,692.87 is: 2,336.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,811.93 : 3,880.71 = 1,692.87 : x
  2. Step 2: Convert to fraction form
    2,811.93/3,880.71 = 1,692.87/x
  3. Step 3: Cross multiply
    2,811.93x = 3,880.71 × 1,692.87
  4. Step 4: Simplify right side
    2,811.93x = 6,569,537.54
  5. Step 5: Solve for x
    x = 6,569,537.54/2,811.93
  6. Step 6: Final answer
    x = 2,336.31

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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.