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Finding the Fourth Proportional to 8,208.82, 12,310.80 and 4,311.10

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Solution

The fourth proportional to 8,208.82, 12,310.80 and 4,311.10 is: 6,465.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,208.82 : 12,310.80 = 4,311.10 : x
  2. Step 2: Convert to fraction form
    8,208.82/12,310.80 = 4,311.10/x
  3. Step 3: Cross multiply
    8,208.82x = 12,310.80 × 4,311.10
  4. Step 4: Simplify right side
    8,208.82x = 53,073,089.88
  5. Step 5: Solve for x
    x = 53,073,089.88/8,208.82
  6. Step 6: Final answer
    x = 6,465.37

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1.5x scale

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.