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Finding the Fourth Proportional to 2,622, 3,618.40 and 1,427

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Solution

The fourth proportional to 2,622, 3,618.40 and 1,427 is: 1,969.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,622 : 3,618.40 = 1,427 : x
  2. Step 2: Convert to fraction form
    2,622/3,618.40 = 1,427/x
  3. Step 3: Cross multiply
    2,622x = 3,618.40 × 1,427
  4. Step 4: Simplify right side
    2,622x = 5,163,456.80
  5. Step 5: Solve for x
    x = 5,163,456.80/2,622
  6. Step 6: Final answer
    x = 1,969.28

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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.