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Finding the Fourth Proportional to 1,338.09, 2,002.11 and 1,107.09

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Solution

The fourth proportional to 1,338.09, 2,002.11 and 1,107.09 is: 1,656.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338.09 : 2,002.11 = 1,107.09 : x
  2. Step 2: Convert to fraction form
    1,338.09/2,002.11 = 1,107.09/x
  3. Step 3: Cross multiply
    1,338.09x = 2,002.11 × 1,107.09
  4. Step 4: Simplify right side
    1,338.09x = 2,216,515.96
  5. Step 5: Solve for x
    x = 2,216,515.96/1,338.09
  6. Step 6: Final answer
    x = 1,656.48

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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.