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Finding the Fourth Proportional to 11,242.80, 16,847 and 5,680.64

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Solution

The fourth proportional to 11,242.80, 16,847 and 5,680.64 is: 8,512.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,242.80 : 16,847 = 5,680.64 : x
  2. Step 2: Convert to fraction form
    11,242.80/16,847 = 5,680.64/x
  3. Step 3: Cross multiply
    11,242.80x = 16,847 × 5,680.64
  4. Step 4: Simplify right side
    11,242.80x = 95,701,742.08
  5. Step 5: Solve for x
    x = 95,701,742.08/11,242.80
  6. Step 6: Final answer
    x = 8,512.27

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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.