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Finding the Fourth Proportional to 2,193.62, 3,289.95 and 633.29

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Solution

The fourth proportional to 2,193.62, 3,289.95 and 633.29 is: 949.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,193.62 : 3,289.95 = 633.29 : x
  2. Step 2: Convert to fraction form
    2,193.62/3,289.95 = 633.29/x
  3. Step 3: Cross multiply
    2,193.62x = 3,289.95 × 633.29
  4. Step 4: Simplify right side
    2,193.62x = 2,083,475.99
  5. Step 5: Solve for x
    x = 2,083,475.99/2,193.62
  6. Step 6: Final answer
    x = 949.79

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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.