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Finding the Fourth Proportional to 8,202.56, 12,296.26 and 3,271

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Solution

The fourth proportional to 8,202.56, 12,296.26 and 3,271 is: 4,903.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202.56 : 12,296.26 = 3,271 : x
  2. Step 2: Convert to fraction form
    8,202.56/12,296.26 = 3,271/x
  3. Step 3: Cross multiply
    8,202.56x = 12,296.26 × 3,271
  4. Step 4: Simplify right side
    8,202.56x = 40,221,066.46
  5. Step 5: Solve for x
    x = 40,221,066.46/8,202.56
  6. Step 6: Final answer
    x = 4,903.48

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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.