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Finding the Fourth Proportional to 11,317.80, 16,984.80 and 6,382.20

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Solution

The fourth proportional to 11,317.80, 16,984.80 and 6,382.20 is: 9,577.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,317.80 : 16,984.80 = 6,382.20 : x
  2. Step 2: Convert to fraction form
    11,317.80/16,984.80 = 6,382.20/x
  3. Step 3: Cross multiply
    11,317.80x = 16,984.80 × 6,382.20
  4. Step 4: Simplify right side
    11,317.80x = 108,400,390.56
  5. Step 5: Solve for x
    x = 108,400,390.56/11,317.80
  6. Step 6: Final answer
    x = 9,577.87

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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.