Home / 12,286.96-16,956.44-6,982

Finding the Fourth Proportional to 12,286.96, 16,956.44 and 6,982

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Solution

The fourth proportional to 12,286.96, 16,956.44 and 6,982 is: 9,635.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,286.96 : 16,956.44 = 6,982 : x
  2. Step 2: Convert to fraction form
    12,286.96/16,956.44 = 6,982/x
  3. Step 3: Cross multiply
    12,286.96x = 16,956.44 × 6,982
  4. Step 4: Simplify right side
    12,286.96x = 118,389,864.08
  5. Step 5: Solve for x
    x = 118,389,864.08/12,286.96
  6. Step 6: Final answer
    x = 9,635.41

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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.