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Finding the Fourth Proportional to 1,900.44, 2,851.11 and 1,511.91

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Solution

The fourth proportional to 1,900.44, 2,851.11 and 1,511.91 is: 2,268.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,900.44 : 2,851.11 = 1,511.91 : x
  2. Step 2: Convert to fraction form
    1,900.44/2,851.11 = 1,511.91/x
  3. Step 3: Cross multiply
    1,900.44x = 2,851.11 × 1,511.91
  4. Step 4: Simplify right side
    1,900.44x = 4,310,621.72
  5. Step 5: Solve for x
    x = 4,310,621.72/1,900.44
  6. Step 6: Final answer
    x = 2,268.22

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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.