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Finding the Fourth Proportional to 2,112.51, 2,914.09 and 1,228.22

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Solution

The fourth proportional to 2,112.51, 2,914.09 and 1,228.22 is: 1,694.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112.51 : 2,914.09 = 1,228.22 : x
  2. Step 2: Convert to fraction form
    2,112.51/2,914.09 = 1,228.22/x
  3. Step 3: Cross multiply
    2,112.51x = 2,914.09 × 1,228.22
  4. Step 4: Simplify right side
    2,112.51x = 3,579,129.05
  5. Step 5: Solve for x
    x = 3,579,129.05/2,112.51
  6. Step 6: Final answer
    x = 1,694.25

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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.