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Finding the Fourth Proportional to 2,002.55, 2,763.83 and 1,163.79

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Solution

The fourth proportional to 2,002.55, 2,763.83 and 1,163.79 is: 1,606.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.55 : 2,763.83 = 1,163.79 : x
  2. Step 2: Convert to fraction form
    2,002.55/2,763.83 = 1,163.79/x
  3. Step 3: Cross multiply
    2,002.55x = 2,763.83 × 1,163.79
  4. Step 4: Simplify right side
    2,002.55x = 3,216,520.63
  5. Step 5: Solve for x
    x = 3,216,520.63/2,002.55
  6. Step 6: Final answer
    x = 1,606.22

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