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Finding the Fourth Proportional to 2,120.04, 3,179.92 and 659.32

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Solution

The fourth proportional to 2,120.04, 3,179.92 and 659.32 is: 988.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,120.04 : 3,179.92 = 659.32 : x
  2. Step 2: Convert to fraction form
    2,120.04/3,179.92 = 659.32/x
  3. Step 3: Cross multiply
    2,120.04x = 3,179.92 × 659.32
  4. Step 4: Simplify right side
    2,120.04x = 2,096,584.85
  5. Step 5: Solve for x
    x = 2,096,584.85/2,120.04
  6. Step 6: Final answer
    x = 988.94

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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.