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Finding the Fourth Proportional to 5,668, 7,821.84 and 3,184

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Solution

The fourth proportional to 5,668, 7,821.84 and 3,184 is: 4,393.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,668 : 7,821.84 = 3,184 : x
  2. Step 2: Convert to fraction form
    5,668/7,821.84 = 3,184/x
  3. Step 3: Cross multiply
    5,668x = 7,821.84 × 3,184
  4. Step 4: Simplify right side
    5,668x = 24,904,738.56
  5. Step 5: Solve for x
    x = 24,904,738.56/5,668
  6. Step 6: Final answer
    x = 4,393.92

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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.