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Finding the Fourth Proportional to 3,790.42, 5,686.80 and 1,942.84

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Solution

The fourth proportional to 3,790.42, 5,686.80 and 1,942.84 is: 2,914.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,790.42 : 5,686.80 = 1,942.84 : x
  2. Step 2: Convert to fraction form
    3,790.42/5,686.80 = 1,942.84/x
  3. Step 3: Cross multiply
    3,790.42x = 5,686.80 × 1,942.84
  4. Step 4: Simplify right side
    3,790.42x = 11,048,542.51
  5. Step 5: Solve for x
    x = 11,048,542.51/3,790.42
  6. Step 6: Final answer
    x = 2,914.86

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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.