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Finding the Fourth Proportional to 2,191.73, 3,289.33 and 960.00

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Solution

The fourth proportional to 2,191.73, 3,289.33 and 960.00 is: 1,440.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191.73 : 3,289.33 = 960.00 : x
  2. Step 2: Convert to fraction form
    2,191.73/3,289.33 = 960.00/x
  3. Step 3: Cross multiply
    2,191.73x = 3,289.33 × 960.00
  4. Step 4: Simplify right side
    2,191.73x = 3,157,760.79
  5. Step 5: Solve for x
    x = 3,157,760.79/2,191.73
  6. Step 6: Final answer
    x = 1,440.76

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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.