Home / 12,087.20-16,680.26-6,782

Finding the Fourth Proportional to 12,087.20, 16,680.26 and 6,782

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Solution

The fourth proportional to 12,087.20, 16,680.26 and 6,782 is: 9,359.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,087.20 : 16,680.26 = 6,782 : x
  2. Step 2: Convert to fraction form
    12,087.20/16,680.26 = 6,782/x
  3. Step 3: Cross multiply
    12,087.20x = 16,680.26 × 6,782
  4. Step 4: Simplify right side
    12,087.20x = 113,125,489.41
  5. Step 5: Solve for x
    x = 113,125,489.41/12,087.20
  6. Step 6: Final answer
    x = 9,359.12

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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.