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Finding the Fourth Proportional to 3,230.68, 4,846.20 and 922

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Solution

The fourth proportional to 3,230.68, 4,846.20 and 922 is: 1,383.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,230.68 : 4,846.20 = 922 : x
  2. Step 2: Convert to fraction form
    3,230.68/4,846.20 = 922/x
  3. Step 3: Cross multiply
    3,230.68x = 4,846.20 × 922
  4. Step 4: Simplify right side
    3,230.68x = 4,468,196.40
  5. Step 5: Solve for x
    x = 4,468,196.40/3,230.68
  6. Step 6: Final answer
    x = 1,383.05

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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.