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Finding the Fourth Proportional to 5,677.97, 8,517.83 and 1,782

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Solution

The fourth proportional to 5,677.97, 8,517.83 and 1,782 is: 2,673.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,677.97 : 8,517.83 = 1,782 : x
  2. Step 2: Convert to fraction form
    5,677.97/8,517.83 = 1,782/x
  3. Step 3: Cross multiply
    5,677.97x = 8,517.83 × 1,782
  4. Step 4: Simplify right side
    5,677.97x = 15,178,764.15
  5. Step 5: Solve for x
    x = 15,178,764.15/5,677.97
  6. Step 6: Final answer
    x = 2,673.28

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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.