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Finding the Fourth Proportional to 3,795.75, 5,689.86 and 1,820.80

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Solution

The fourth proportional to 3,795.75, 5,689.86 and 1,820.80 is: 2,729.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,795.75 : 5,689.86 = 1,820.80 : x
  2. Step 2: Convert to fraction form
    3,795.75/5,689.86 = 1,820.80/x
  3. Step 3: Cross multiply
    3,795.75x = 5,689.86 × 1,820.80
  4. Step 4: Simplify right side
    3,795.75x = 10,360,097.09
  5. Step 5: Solve for x
    x = 10,360,097.09/3,795.75
  6. Step 6: Final answer
    x = 2,729.39

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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.