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Finding the Fourth Proportional to 2,685.74, 4,034.07 and 2,067.30

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Solution

The fourth proportional to 2,685.74, 4,034.07 and 2,067.30 is: 3,105.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,685.74 : 4,034.07 = 2,067.30 : x
  2. Step 2: Convert to fraction form
    2,685.74/4,034.07 = 2,067.30/x
  3. Step 3: Cross multiply
    2,685.74x = 4,034.07 × 2,067.30
  4. Step 4: Simplify right side
    2,685.74x = 8,339,632.91
  5. Step 5: Solve for x
    x = 8,339,632.91/2,685.74
  6. Step 6: Final answer
    x = 3,105.16

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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.