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Finding the Fourth Proportional to 1,999.78, 2,759.82 and 1,103.52

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Solution

The fourth proportional to 1,999.78, 2,759.82 and 1,103.52 is: 1,522.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999.78 : 2,759.82 = 1,103.52 : x
  2. Step 2: Convert to fraction form
    1,999.78/2,759.82 = 1,103.52/x
  3. Step 3: Cross multiply
    1,999.78x = 2,759.82 × 1,103.52
  4. Step 4: Simplify right side
    1,999.78x = 3,045,506.22
  5. Step 5: Solve for x
    x = 3,045,506.22/1,999.78
  6. Step 6: Final answer
    x = 1,522.92

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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.