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Finding the Fourth Proportional to 2,002.78, 2,763.76 and 1,163.44

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Solution

The fourth proportional to 2,002.78, 2,763.76 and 1,163.44 is: 1,605.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.78 : 2,763.76 = 1,163.44 : x
  2. Step 2: Convert to fraction form
    2,002.78/2,763.76 = 1,163.44/x
  3. Step 3: Cross multiply
    2,002.78x = 2,763.76 × 1,163.44
  4. Step 4: Simplify right side
    2,002.78x = 3,215,468.93
  5. Step 5: Solve for x
    x = 3,215,468.93/2,002.78
  6. Step 6: Final answer
    x = 1,605.50

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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.