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Finding the Fourth Proportional to 2,855.74, 4,284.63 and 2,074.42

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Solution

The fourth proportional to 2,855.74, 4,284.63 and 2,074.42 is: 3,112.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855.74 : 4,284.63 = 2,074.42 : x
  2. Step 2: Convert to fraction form
    2,855.74/4,284.63 = 2,074.42/x
  3. Step 3: Cross multiply
    2,855.74x = 4,284.63 × 2,074.42
  4. Step 4: Simplify right side
    2,855.74x = 8,888,103.42
  5. Step 5: Solve for x
    x = 8,888,103.42/2,855.74
  6. Step 6: Final answer
    x = 3,112.37

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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.