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Finding the Fourth Proportional to 8,286.56, 11,428.08 and 8,245.20

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Solution

The fourth proportional to 8,286.56, 11,428.08 and 8,245.20 is: 11,371.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,286.56 : 11,428.08 = 8,245.20 : x
  2. Step 2: Convert to fraction form
    8,286.56/11,428.08 = 8,245.20/x
  3. Step 3: Cross multiply
    8,286.56x = 11,428.08 × 8,245.20
  4. Step 4: Simplify right side
    8,286.56x = 94,226,805.22
  5. Step 5: Solve for x
    x = 94,226,805.22/8,286.56
  6. Step 6: Final answer
    x = 11,371.04

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Half scale
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1.5x scale

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.