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Finding the Fourth Proportional to 2,570.26, 3,855.30 and 815.26

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Solution

The fourth proportional to 2,570.26, 3,855.30 and 815.26 is: 1,222.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570.26 : 3,855.30 = 815.26 : x
  2. Step 2: Convert to fraction form
    2,570.26/3,855.30 = 815.26/x
  3. Step 3: Cross multiply
    2,570.26x = 3,855.30 × 815.26
  4. Step 4: Simplify right side
    2,570.26x = 3,143,071.88
  5. Step 5: Solve for x
    x = 3,143,071.88/2,570.26
  6. Step 6: Final answer
    x = 1,222.86

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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.