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Finding the Fourth Proportional to 2,806.52, 4,209.42 and 858.20

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Solution

The fourth proportional to 2,806.52, 4,209.42 and 858.20 is: 1,287.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.52 : 4,209.42 = 858.20 : x
  2. Step 2: Convert to fraction form
    2,806.52/4,209.42 = 858.20/x
  3. Step 3: Cross multiply
    2,806.52x = 4,209.42 × 858.20
  4. Step 4: Simplify right side
    2,806.52x = 3,612,524.24
  5. Step 5: Solve for x
    x = 3,612,524.24/2,806.52
  6. Step 6: Final answer
    x = 1,287.19

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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.