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Finding the Fourth Proportional to 3,895.63, 5,375.82 and 2,127.22

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Solution

The fourth proportional to 3,895.63, 5,375.82 and 2,127.22 is: 2,935.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,895.63 : 5,375.82 = 2,127.22 : x
  2. Step 2: Convert to fraction form
    3,895.63/5,375.82 = 2,127.22/x
  3. Step 3: Cross multiply
    3,895.63x = 5,375.82 × 2,127.22
  4. Step 4: Simplify right side
    3,895.63x = 11,435,551.82
  5. Step 5: Solve for x
    x = 11,435,551.82/3,895.63
  6. Step 6: Final answer
    x = 2,935.48

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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.