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Finding the Fourth Proportional to 1,999.37, 2,759.01 and 1,103.06

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Solution

The fourth proportional to 1,999.37, 2,759.01 and 1,103.06 is: 1,522.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999.37 : 2,759.01 = 1,103.06 : x
  2. Step 2: Convert to fraction form
    1,999.37/2,759.01 = 1,103.06/x
  3. Step 3: Cross multiply
    1,999.37x = 2,759.01 × 1,103.06
  4. Step 4: Simplify right side
    1,999.37x = 3,043,353.57
  5. Step 5: Solve for x
    x = 3,043,353.57/1,999.37
  6. Step 6: Final answer
    x = 1,522.16

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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.