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Finding the Fourth Proportional to 3,855.08, 5,779.31 and 3,270.66

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Solution

The fourth proportional to 3,855.08, 5,779.31 and 3,270.66 is: 4,903.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855.08 : 5,779.31 = 3,270.66 : x
  2. Step 2: Convert to fraction form
    3,855.08/5,779.31 = 3,270.66/x
  3. Step 3: Cross multiply
    3,855.08x = 5,779.31 × 3,270.66
  4. Step 4: Simplify right side
    3,855.08x = 18,902,141.69
  5. Step 5: Solve for x
    x = 18,902,141.69/3,855.08
  6. Step 6: Final answer
    x = 4,903.18

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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.