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Finding the Fourth Proportional to 3,806.42, 5,696.65 and 3,190.82

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Solution

The fourth proportional to 3,806.42, 5,696.65 and 3,190.82 is: 4,775.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.42 : 5,696.65 = 3,190.82 : x
  2. Step 2: Convert to fraction form
    3,806.42/5,696.65 = 3,190.82/x
  3. Step 3: Cross multiply
    3,806.42x = 5,696.65 × 3,190.82
  4. Step 4: Simplify right side
    3,806.42x = 18,176,984.75
  5. Step 5: Solve for x
    x = 18,176,984.75/3,806.42
  6. Step 6: Final answer
    x = 4,775.35

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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.