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Finding the Fourth Proportional to 3,965.44, 5,466 and 3,640

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Solution

The fourth proportional to 3,965.44, 5,466 and 3,640 is: 5,017.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965.44 : 5,466 = 3,640 : x
  2. Step 2: Convert to fraction form
    3,965.44/5,466 = 3,640/x
  3. Step 3: Cross multiply
    3,965.44x = 5,466 × 3,640
  4. Step 4: Simplify right side
    3,965.44x = 19,896,240
  5. Step 5: Solve for x
    x = 19,896,240/3,965.44
  6. Step 6: Final answer
    x = 5,017.41

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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.