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Finding the Fourth Proportional to 2,806.35, 4,209.52 and 858.55

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Solution

The fourth proportional to 2,806.35, 4,209.52 and 858.55 is: 1,287.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.35 : 4,209.52 = 858.55 : x
  2. Step 2: Convert to fraction form
    2,806.35/4,209.52 = 858.55/x
  3. Step 3: Cross multiply
    2,806.35x = 4,209.52 × 858.55
  4. Step 4: Simplify right side
    2,806.35x = 3,614,080.23
  5. Step 5: Solve for x
    x = 3,614,080.23/2,806.35
  6. Step 6: Final answer
    x = 1,287.82

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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.