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Finding the Fourth Proportional to 1,622, 2,238.36 and 923.38

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Solution

The fourth proportional to 1,622, 2,238.36 and 923.38 is: 1,274.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,622 : 2,238.36 = 923.38 : x
  2. Step 2: Convert to fraction form
    1,622/2,238.36 = 923.38/x
  3. Step 3: Cross multiply
    1,622x = 2,238.36 × 923.38
  4. Step 4: Simplify right side
    1,622x = 2,066,856.86
  5. Step 5: Solve for x
    x = 2,066,856.86/1,622
  6. Step 6: Final answer
    x = 1,274.26

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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.