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Finding the Fourth Proportional to 5,108.94, 7,662.96 and 1,821.96

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Solution

The fourth proportional to 5,108.94, 7,662.96 and 1,821.96 is: 2,732.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,108.94 : 7,662.96 = 1,821.96 : x
  2. Step 2: Convert to fraction form
    5,108.94/7,662.96 = 1,821.96/x
  3. Step 3: Cross multiply
    5,108.94x = 7,662.96 × 1,821.96
  4. Step 4: Simplify right side
    5,108.94x = 13,961,606.60
  5. Step 5: Solve for x
    x = 13,961,606.60/5,108.94
  6. Step 6: Final answer
    x = 2,732.78

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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.