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Finding the Fourth Proportional to 2,054.43, 3,080.99 and 667.44

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Solution

The fourth proportional to 2,054.43, 3,080.99 and 667.44 is: 1,000.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.43 : 3,080.99 = 667.44 : x
  2. Step 2: Convert to fraction form
    2,054.43/3,080.99 = 667.44/x
  3. Step 3: Cross multiply
    2,054.43x = 3,080.99 × 667.44
  4. Step 4: Simplify right side
    2,054.43x = 2,056,377.63
  5. Step 5: Solve for x
    x = 2,056,377.63/2,054.43
  6. Step 6: Final answer
    x = 1,000.95

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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.