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Finding the Fourth Proportional to 2,002.66, 2,763.66 and 1,163.54

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Solution

The fourth proportional to 2,002.66, 2,763.66 and 1,163.54 is: 1,605.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.66 : 2,763.66 = 1,163.54 : x
  2. Step 2: Convert to fraction form
    2,002.66/2,763.66 = 1,163.54/x
  3. Step 3: Cross multiply
    2,002.66x = 2,763.66 × 1,163.54
  4. Step 4: Simplify right side
    2,002.66x = 3,215,628.96
  5. Step 5: Solve for x
    x = 3,215,628.96/2,002.66
  6. Step 6: Final answer
    x = 1,605.68

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1.5x scale

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.