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Finding the Fourth Proportional to 2,119.86, 3,180.29 and 658.94

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Solution

The fourth proportional to 2,119.86, 3,180.29 and 658.94 is: 988.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,119.86 : 3,180.29 = 658.94 : x
  2. Step 2: Convert to fraction form
    2,119.86/3,180.29 = 658.94/x
  3. Step 3: Cross multiply
    2,119.86x = 3,180.29 × 658.94
  4. Step 4: Simplify right side
    2,119.86x = 2,095,601.10
  5. Step 5: Solve for x
    x = 2,095,601.10/2,119.86
  6. Step 6: Final answer
    x = 988.56

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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.