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Finding the Fourth Proportional to 2,855.75, 4,284.26 and 1,213.70

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Solution

The fourth proportional to 2,855.75, 4,284.26 and 1,213.70 is: 1,820.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855.75 : 4,284.26 = 1,213.70 : x
  2. Step 2: Convert to fraction form
    2,855.75/4,284.26 = 1,213.70/x
  3. Step 3: Cross multiply
    2,855.75x = 4,284.26 × 1,213.70
  4. Step 4: Simplify right side
    2,855.75x = 5,199,800.29
  5. Step 5: Solve for x
    x = 5,199,800.29/2,855.75
  6. Step 6: Final answer
    x = 1,820.82

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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.