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Finding the Fourth Proportional to 2,806.35, 4,208.03 and 858.03

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Solution

The fourth proportional to 2,806.35, 4,208.03 and 858.03 is: 1,286.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.35 : 4,208.03 = 858.03 : x
  2. Step 2: Convert to fraction form
    2,806.35/4,208.03 = 858.03/x
  3. Step 3: Cross multiply
    2,806.35x = 4,208.03 × 858.03
  4. Step 4: Simplify right side
    2,806.35x = 3,610,615.98
  5. Step 5: Solve for x
    x = 3,610,615.98/2,806.35
  6. Step 6: Final answer
    x = 1,286.59

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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.