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Finding the Fourth Proportional to 2,007, 3,011.72 and 852.75

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Solution

The fourth proportional to 2,007, 3,011.72 and 852.75 is: 1,279.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007 : 3,011.72 = 852.75 : x
  2. Step 2: Convert to fraction form
    2,007/3,011.72 = 852.75/x
  3. Step 3: Cross multiply
    2,007x = 3,011.72 × 852.75
  4. Step 4: Simplify right side
    2,007x = 2,568,239.97
  5. Step 5: Solve for x
    x = 2,568,239.97/2,007
  6. Step 6: Final answer
    x = 1,279.64

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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.