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Finding the Fourth Proportional to 3,790, 5,683.02 and 1,708.21

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Solution

The fourth proportional to 3,790, 5,683.02 and 1,708.21 is: 2,561.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,790 : 5,683.02 = 1,708.21 : x
  2. Step 2: Convert to fraction form
    3,790/5,683.02 = 1,708.21/x
  3. Step 3: Cross multiply
    3,790x = 5,683.02 × 1,708.21
  4. Step 4: Simplify right side
    3,790x = 9,707,791.59
  5. Step 5: Solve for x
    x = 9,707,791.59/3,790
  6. Step 6: Final answer
    x = 2,561.42

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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.