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Finding the Fourth Proportional to 3,766, 5,644.95 and 1,683.15

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Solution

The fourth proportional to 3,766, 5,644.95 and 1,683.15 is: 2,522.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,766 : 5,644.95 = 1,683.15 : x
  2. Step 2: Convert to fraction form
    3,766/5,644.95 = 1,683.15/x
  3. Step 3: Cross multiply
    3,766x = 5,644.95 × 1,683.15
  4. Step 4: Simplify right side
    3,766x = 9,501,297.59
  5. Step 5: Solve for x
    x = 9,501,297.59/3,766
  6. Step 6: Final answer
    x = 2,522.91

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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.