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Finding the Fourth Proportional to 2,119.97, 3,180.40 and 659.21

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Solution

The fourth proportional to 2,119.97, 3,180.40 and 659.21 is: 988.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,119.97 : 3,180.40 = 659.21 : x
  2. Step 2: Convert to fraction form
    2,119.97/3,180.40 = 659.21/x
  3. Step 3: Cross multiply
    2,119.97x = 3,180.40 × 659.21
  4. Step 4: Simplify right side
    2,119.97x = 2,096,533.93
  5. Step 5: Solve for x
    x = 2,096,533.93/2,119.97
  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.