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Finding the Fourth Proportional to 2,004.75, 3,000.75 and 1,305.82

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Solution

The fourth proportional to 2,004.75, 3,000.75 and 1,305.82 is: 1,954.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.75 : 3,000.75 = 1,305.82 : x
  2. Step 2: Convert to fraction form
    2,004.75/3,000.75 = 1,305.82/x
  3. Step 3: Cross multiply
    2,004.75x = 3,000.75 × 1,305.82
  4. Step 4: Simplify right side
    2,004.75x = 3,918,438.22
  5. Step 5: Solve for x
    x = 3,918,438.22/2,004.75
  6. Step 6: Final answer
    x = 1,954.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.