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Finding the Fourth Proportional to 2,004.50, 3,005.55 and 833.09

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Solution

The fourth proportional to 2,004.50, 3,005.55 and 833.09 is: 1,249.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.50 : 3,005.55 = 833.09 : x
  2. Step 2: Convert to fraction form
    2,004.50/3,005.55 = 833.09/x
  3. Step 3: Cross multiply
    2,004.50x = 3,005.55 × 833.09
  4. Step 4: Simplify right side
    2,004.50x = 2,503,893.65
  5. Step 5: Solve for x
    x = 2,503,893.65/2,004.50
  6. Step 6: Final answer
    x = 1,249.14

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1.5x scale

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.