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Finding the Fourth Proportional to 2,119.80, 3,178.64 and 658.77

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Solution

The fourth proportional to 2,119.80, 3,178.64 and 658.77 is: 987.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,119.80 : 3,178.64 = 658.77 : x
  2. Step 2: Convert to fraction form
    2,119.80/3,178.64 = 658.77/x
  3. Step 3: Cross multiply
    2,119.80x = 3,178.64 × 658.77
  4. Step 4: Simplify right side
    2,119.80x = 2,093,989.38
  5. Step 5: Solve for x
    x = 2,093,989.38/2,119.80
  6. Step 6: Final answer
    x = 987.82

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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.