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Finding the Fourth Proportional to 3,806.79, 5,705.63 and 2,164.42

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Solution

The fourth proportional to 3,806.79, 5,705.63 and 2,164.42 is: 3,244.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.79 : 5,705.63 = 2,164.42 : x
  2. Step 2: Convert to fraction form
    3,806.79/5,705.63 = 2,164.42/x
  3. Step 3: Cross multiply
    3,806.79x = 5,705.63 × 2,164.42
  4. Step 4: Simplify right side
    3,806.79x = 12,349,351.16
  5. Step 5: Solve for x
    x = 12,349,351.16/3,806.79
  6. Step 6: Final answer
    x = 3,244.03

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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.