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Finding the Fourth Proportional to 3,785.69, 5,683.80 and 1,938.26

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Solution

The fourth proportional to 3,785.69, 5,683.80 and 1,938.26 is: 2,910.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785.69 : 5,683.80 = 1,938.26 : x
  2. Step 2: Convert to fraction form
    3,785.69/5,683.80 = 1,938.26/x
  3. Step 3: Cross multiply
    3,785.69x = 5,683.80 × 1,938.26
  4. Step 4: Simplify right side
    3,785.69x = 11,016,682.19
  5. Step 5: Solve for x
    x = 11,016,682.19/3,785.69
  6. Step 6: Final answer
    x = 2,910.09

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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.