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Finding the Fourth Proportional to 2,027.23, 2,798 and 1,188.37

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Solution

The fourth proportional to 2,027.23, 2,798 and 1,188.37 is: 1,640.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.23 : 2,798 = 1,188.37 : x
  2. Step 2: Convert to fraction form
    2,027.23/2,798 = 1,188.37/x
  3. Step 3: Cross multiply
    2,027.23x = 2,798 × 1,188.37
  4. Step 4: Simplify right side
    2,027.23x = 3,325,059.26
  5. Step 5: Solve for x
    x = 3,325,059.26/2,027.23
  6. Step 6: Final answer
    x = 1,640.20

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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.