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Finding the Fourth Proportional to 5,786, 8,680.48 and 1,682

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Solution

The fourth proportional to 5,786, 8,680.48 and 1,682 is: 2,523.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,786 : 8,680.48 = 1,682 : x
  2. Step 2: Convert to fraction form
    5,786/8,680.48 = 1,682/x
  3. Step 3: Cross multiply
    5,786x = 8,680.48 × 1,682
  4. Step 4: Simplify right side
    5,786x = 14,600,567.36
  5. Step 5: Solve for x
    x = 14,600,567.36/5,786
  6. Step 6: Final answer
    x = 2,523.43

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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.