Home / 9,982-13,786.68-6,832.72

Finding the Fourth Proportional to 9,982, 13,786.68 and 6,832.72

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Solution

The fourth proportional to 9,982, 13,786.68 and 6,832.72 is: 9,437.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,982 : 13,786.68 = 6,832.72 : x
  2. Step 2: Convert to fraction form
    9,982/13,786.68 = 6,832.72/x
  3. Step 3: Cross multiply
    9,982x = 13,786.68 × 6,832.72
  4. Step 4: Simplify right side
    9,982x = 94,200,524.17
  5. Step 5: Solve for x
    x = 94,200,524.17/9,982
  6. Step 6: Final answer
    x = 9,437.04

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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.