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Finding the Fourth Proportional to 2,192.44, 3,289.28 and 805.72

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Solution

The fourth proportional to 2,192.44, 3,289.28 and 805.72 is: 1,208.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,192.44 : 3,289.28 = 805.72 : x
  2. Step 2: Convert to fraction form
    2,192.44/3,289.28 = 805.72/x
  3. Step 3: Cross multiply
    2,192.44x = 3,289.28 × 805.72
  4. Step 4: Simplify right side
    2,192.44x = 2,650,238.68
  5. Step 5: Solve for x
    x = 2,650,238.68/2,192.44
  6. Step 6: Final answer
    x = 1,208.81

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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.