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Finding the Fourth Proportional to 2,174.49, 3,000.78 and 1,179.78

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Solution

The fourth proportional to 2,174.49, 3,000.78 and 1,179.78 is: 1,628.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.49 : 3,000.78 = 1,179.78 : x
  2. Step 2: Convert to fraction form
    2,174.49/3,000.78 = 1,179.78/x
  3. Step 3: Cross multiply
    2,174.49x = 3,000.78 × 1,179.78
  4. Step 4: Simplify right side
    2,174.49x = 3,540,260.23
  5. Step 5: Solve for x
    x = 3,540,260.23/2,174.49
  6. Step 6: Final answer
    x = 1,628.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.