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Finding the Fourth Proportional to 2,163.95, 3,245.91 and 520.49

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Solution

The fourth proportional to 2,163.95, 3,245.91 and 520.49 is: 780.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163.95 : 3,245.91 = 520.49 : x
  2. Step 2: Convert to fraction form
    2,163.95/3,245.91 = 520.49/x
  3. Step 3: Cross multiply
    2,163.95x = 3,245.91 × 520.49
  4. Step 4: Simplify right side
    2,163.95x = 1,689,447.47
  5. Step 5: Solve for x
    x = 1,689,447.47/2,163.95
  6. Step 6: Final answer
    x = 780.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.