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Finding the Fourth Proportional to 2,226.68, 3,072.42 and 1,295

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Solution

The fourth proportional to 2,226.68, 3,072.42 and 1,295 is: 1,786.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,226.68 : 3,072.42 = 1,295 : x
  2. Step 2: Convert to fraction form
    2,226.68/3,072.42 = 1,295/x
  3. Step 3: Cross multiply
    2,226.68x = 3,072.42 × 1,295
  4. Step 4: Simplify right side
    2,226.68x = 3,978,783.90
  5. Step 5: Solve for x
    x = 3,978,783.90/2,226.68
  6. Step 6: Final answer
    x = 1,786.87

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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.