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Finding the Fourth Proportional to 2,163.11, 3,245.20 and 776.59

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Solution

The fourth proportional to 2,163.11, 3,245.20 and 776.59 is: 1,165.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163.11 : 3,245.20 = 776.59 : x
  2. Step 2: Convert to fraction form
    2,163.11/3,245.20 = 776.59/x
  3. Step 3: Cross multiply
    2,163.11x = 3,245.20 × 776.59
  4. Step 4: Simplify right side
    2,163.11x = 2,520,179.81
  5. Step 5: Solve for x
    x = 2,520,179.81/2,163.11
  6. Step 6: Final answer
    x = 1,165.08

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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.