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Finding the Fourth Proportional to 2,163.64, 2,986.23 and 1,724.98

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Solution

The fourth proportional to 2,163.64, 2,986.23 and 1,724.98 is: 2,380.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163.64 : 2,986.23 = 1,724.98 : x
  2. Step 2: Convert to fraction form
    2,163.64/2,986.23 = 1,724.98/x
  3. Step 3: Cross multiply
    2,163.64x = 2,986.23 × 1,724.98
  4. Step 4: Simplify right side
    2,163.64x = 5,151,187.03
  5. Step 5: Solve for x
    x = 5,151,187.03/2,163.64
  6. Step 6: Final answer
    x = 2,380.80

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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.