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Finding the Fourth Proportional to 8,519.44, 11,680.10 and 8,363.92

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Solution

The fourth proportional to 8,519.44, 11,680.10 and 8,363.92 is: 11,466.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,519.44 : 11,680.10 = 8,363.92 : x
  2. Step 2: Convert to fraction form
    8,519.44/11,680.10 = 8,363.92/x
  3. Step 3: Cross multiply
    8,519.44x = 11,680.10 × 8,363.92
  4. Step 4: Simplify right side
    8,519.44x = 97,691,421.99
  5. Step 5: Solve for x
    x = 97,691,421.99/8,519.44
  6. Step 6: Final answer
    x = 11,466.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.