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Finding the Fourth Proportional to 3,735.80, 5,155.80 and 2,163.80

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Solution

The fourth proportional to 3,735.80, 5,155.80 and 2,163.80 is: 2,986.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,735.80 : 5,155.80 = 2,163.80 : x
  2. Step 2: Convert to fraction form
    3,735.80/5,155.80 = 2,163.80/x
  3. Step 3: Cross multiply
    3,735.80x = 5,155.80 × 2,163.80
  4. Step 4: Simplify right side
    3,735.80x = 11,156,120.04
  5. Step 5: Solve for x
    x = 11,156,120.04/3,735.80
  6. Step 6: Final answer
    x = 2,986.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.