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Finding the Fourth Proportional to 2,194, 3,027.90 and 1,250.08

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Solution

The fourth proportional to 2,194, 3,027.90 and 1,250.08 is: 1,725.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194 : 3,027.90 = 1,250.08 : x
  2. Step 2: Convert to fraction form
    2,194/3,027.90 = 1,250.08/x
  3. Step 3: Cross multiply
    2,194x = 3,027.90 × 1,250.08
  4. Step 4: Simplify right side
    2,194x = 3,785,117.23
  5. Step 5: Solve for x
    x = 3,785,117.23/2,194
  6. Step 6: Final answer
    x = 1,725.21

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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.