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Finding the Fourth Proportional to 3,657.80, 5,479.79 and 1,806.75

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Solution

The fourth proportional to 3,657.80, 5,479.79 and 1,806.75 is: 2,706.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657.80 : 5,479.79 = 1,806.75 : x
  2. Step 2: Convert to fraction form
    3,657.80/5,479.79 = 1,806.75/x
  3. Step 3: Cross multiply
    3,657.80x = 5,479.79 × 1,806.75
  4. Step 4: Simplify right side
    3,657.80x = 9,900,601.55
  5. Step 5: Solve for x
    x = 9,900,601.55/3,657.80
  6. Step 6: Final answer
    x = 2,706.71

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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.