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Finding the Fourth Proportional to 3,657.75, 5,479.74 and 1,806.70

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Solution

The fourth proportional to 3,657.75, 5,479.74 and 1,806.70 is: 2,706.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657.75 : 5,479.74 = 1,806.70 : x
  2. Step 2: Convert to fraction form
    3,657.75/5,479.74 = 1,806.70/x
  3. Step 3: Cross multiply
    3,657.75x = 5,479.74 × 1,806.70
  4. Step 4: Simplify right side
    3,657.75x = 9,900,246.26
  5. Step 5: Solve for x
    x = 9,900,246.26/3,657.75
  6. Step 6: Final answer
    x = 2,706.65

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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.