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Finding the Fourth Proportional to 2,119.56, 3,179.74 and 658.38

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Solution

The fourth proportional to 2,119.56, 3,179.74 and 658.38 is: 987.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,119.56 : 3,179.74 = 658.38 : x
  2. Step 2: Convert to fraction form
    2,119.56/3,179.74 = 658.38/x
  3. Step 3: Cross multiply
    2,119.56x = 3,179.74 × 658.38
  4. Step 4: Simplify right side
    2,119.56x = 2,093,477.22
  5. Step 5: Solve for x
    x = 2,093,477.22/2,119.56
  6. Step 6: Final answer
    x = 987.69

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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.