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Finding the Fourth Proportional to 3,880.64, 5,826.56 and 3,692.64

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Solution

The fourth proportional to 3,880.64, 5,826.56 and 3,692.64 is: 5,544.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,880.64 : 5,826.56 = 3,692.64 : x
  2. Step 2: Convert to fraction form
    3,880.64/5,826.56 = 3,692.64/x
  3. Step 3: Cross multiply
    3,880.64x = 5,826.56 × 3,692.64
  4. Step 4: Simplify right side
    3,880.64x = 21,515,388.52
  5. Step 5: Solve for x
    x = 21,515,388.52/3,880.64
  6. Step 6: Final answer
    x = 5,544.29

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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.