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Finding the Fourth Proportional to 2,806.41, 4,209.63 and 858.61

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Solution

The fourth proportional to 2,806.41, 4,209.63 and 858.61 is: 1,287.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.41 : 4,209.63 = 858.61 : x
  2. Step 2: Convert to fraction form
    2,806.41/4,209.63 = 858.61/x
  3. Step 3: Cross multiply
    2,806.41x = 4,209.63 × 858.61
  4. Step 4: Simplify right side
    2,806.41x = 3,614,405.07
  5. Step 5: Solve for x
    x = 3,614,405.07/2,806.41
  6. Step 6: Final answer
    x = 1,287.91

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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.