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Finding the Fourth Proportional to 2,192.45, 3,289.78 and 959.87

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Solution

The fourth proportional to 2,192.45, 3,289.78 and 959.87 is: 1,440.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,192.45 : 3,289.78 = 959.87 : x
  2. Step 2: Convert to fraction form
    2,192.45/3,289.78 = 959.87/x
  3. Step 3: Cross multiply
    2,192.45x = 3,289.78 × 959.87
  4. Step 4: Simplify right side
    2,192.45x = 3,157,742.28
  5. Step 5: Solve for x
    x = 3,157,742.28/2,192.45
  6. Step 6: Final answer
    x = 1,440.28

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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.