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Finding the Fourth Proportional to 2,067.12, 3,100.41 and 606.29

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Solution

The fourth proportional to 2,067.12, 3,100.41 and 606.29 is: 909.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067.12 : 3,100.41 = 606.29 : x
  2. Step 2: Convert to fraction form
    2,067.12/3,100.41 = 606.29/x
  3. Step 3: Cross multiply
    2,067.12x = 3,100.41 × 606.29
  4. Step 4: Simplify right side
    2,067.12x = 1,879,732.08
  5. Step 5: Solve for x
    x = 1,879,732.08/2,067.12
  6. Step 6: Final answer
    x = 909.35

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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.