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Finding the Fourth Proportional to 5,684, 8,519.94 and 2,755.88

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Solution

The fourth proportional to 5,684, 8,519.94 and 2,755.88 is: 4,130.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684 : 8,519.94 = 2,755.88 : x
  2. Step 2: Convert to fraction form
    5,684/8,519.94 = 2,755.88/x
  3. Step 3: Cross multiply
    5,684x = 8,519.94 × 2,755.88
  4. Step 4: Simplify right side
    5,684x = 23,479,932.25
  5. Step 5: Solve for x
    x = 23,479,932.25/5,684
  6. Step 6: Final answer
    x = 4,130.88

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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.