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Finding the Fourth Proportional to 5,673, 7,828.78 and 3,189

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Solution

The fourth proportional to 5,673, 7,828.78 and 3,189 is: 4,400.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,673 : 7,828.78 = 3,189 : x
  2. Step 2: Convert to fraction form
    5,673/7,828.78 = 3,189/x
  3. Step 3: Cross multiply
    5,673x = 7,828.78 × 3,189
  4. Step 4: Simplify right side
    5,673x = 24,965,979.42
  5. Step 5: Solve for x
    x = 24,965,979.42/5,673
  6. Step 6: Final answer
    x = 4,400.84

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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.