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Finding the Fourth Proportional to 2,003.10, 3,004.65 and 851.10

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Solution

The fourth proportional to 2,003.10, 3,004.65 and 851.10 is: 1,276.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.10 : 3,004.65 = 851.10 : x
  2. Step 2: Convert to fraction form
    2,003.10/3,004.65 = 851.10/x
  3. Step 3: Cross multiply
    2,003.10x = 3,004.65 × 851.10
  4. Step 4: Simplify right side
    2,003.10x = 2,557,257.62
  5. Step 5: Solve for x
    x = 2,557,257.62/2,003.10
  6. Step 6: Final answer
    x = 1,276.65

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Similar ratio
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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.