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Finding the Fourth Proportional to 3,795.74, 5,690.19 and 1,820.18

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Solution

The fourth proportional to 3,795.74, 5,690.19 and 1,820.18 is: 2,728.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,795.74 : 5,690.19 = 1,820.18 : x
  2. Step 2: Convert to fraction form
    3,795.74/5,690.19 = 1,820.18/x
  3. Step 3: Cross multiply
    3,795.74x = 5,690.19 × 1,820.18
  4. Step 4: Simplify right side
    3,795.74x = 10,357,170.03
  5. Step 5: Solve for x
    x = 10,357,170.03/3,795.74
  6. Step 6: Final answer
    x = 2,728.63

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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.