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Finding the Fourth Proportional to 2,622, 3,618.36 and 1,574.07

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Solution

The fourth proportional to 2,622, 3,618.36 and 1,574.07 is: 2,172.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,622 : 3,618.36 = 1,574.07 : x
  2. Step 2: Convert to fraction form
    2,622/3,618.36 = 1,574.07/x
  3. Step 3: Cross multiply
    2,622x = 3,618.36 × 1,574.07
  4. Step 4: Simplify right side
    2,622x = 5,695,551.93
  5. Step 5: Solve for x
    x = 5,695,551.93/2,622
  6. Step 6: Final answer
    x = 2,172.22

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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.