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Finding the Fourth Proportional to 4,811, 7,216.50 and 1,163

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Solution

The fourth proportional to 4,811, 7,216.50 and 1,163 is: 1,744.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,811 : 7,216.50 = 1,163 : x
  2. Step 2: Convert to fraction form
    4,811/7,216.50 = 1,163/x
  3. Step 3: Cross multiply
    4,811x = 7,216.50 × 1,163
  4. Step 4: Simplify right side
    4,811x = 8,392,789.50
  5. Step 5: Solve for x
    x = 8,392,789.50/4,811
  6. Step 6: Final answer
    x = 1,744.50

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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.