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Finding the Fourth Proportional to 2,120.31, 3,179.45 and 659.47

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Solution

The fourth proportional to 2,120.31, 3,179.45 and 659.47 is: 988.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,120.31 : 3,179.45 = 659.47 : x
  2. Step 2: Convert to fraction form
    2,120.31/3,179.45 = 659.47/x
  3. Step 3: Cross multiply
    2,120.31x = 3,179.45 × 659.47
  4. Step 4: Simplify right side
    2,120.31x = 2,096,748.59
  5. Step 5: Solve for x
    x = 2,096,748.59/2,120.31
  6. Step 6: Final answer
    x = 988.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.