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Finding the Fourth Proportional to 2,192.14, 3,285.42 and 959.22

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Solution

The fourth proportional to 2,192.14, 3,285.42 and 959.22 is: 1,437.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,192.14 : 3,285.42 = 959.22 : x
  2. Step 2: Convert to fraction form
    2,192.14/3,285.42 = 959.22/x
  3. Step 3: Cross multiply
    2,192.14x = 3,285.42 × 959.22
  4. Step 4: Simplify right side
    2,192.14x = 3,151,440.57
  5. Step 5: Solve for x
    x = 3,151,440.57/2,192.14
  6. Step 6: Final answer
    x = 1,437.61

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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.