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Finding the Fourth Proportional to 2,226.78, 3,072.78 and 1,232.09

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Solution

The fourth proportional to 2,226.78, 3,072.78 and 1,232.09 is: 1,700.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,226.78 : 3,072.78 = 1,232.09 : x
  2. Step 2: Convert to fraction form
    2,226.78/3,072.78 = 1,232.09/x
  3. Step 3: Cross multiply
    2,226.78x = 3,072.78 × 1,232.09
  4. Step 4: Simplify right side
    2,226.78x = 3,785,941.51
  5. Step 5: Solve for x
    x = 3,785,941.51/2,226.78
  6. Step 6: Final answer
    x = 1,700.19

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1.5x scale

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.