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Finding the Fourth Proportional to 2,000.00, 2,759.99 and 1,115.75

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Solution

The fourth proportional to 2,000.00, 2,759.99 and 1,115.75 is: 1,539.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.00 : 2,759.99 = 1,115.75 : x
  2. Step 2: Convert to fraction form
    2,000.00/2,759.99 = 1,115.75/x
  3. Step 3: Cross multiply
    2,000.00x = 2,759.99 × 1,115.75
  4. Step 4: Simplify right side
    2,000.00x = 3,079,454.73
  5. Step 5: Solve for x
    x = 3,079,454.73/2,000.00
  6. Step 6: Final answer
    x = 1,539.73

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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.