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Finding the Fourth Proportional to 8,222.87, 12,331.51 and 2,674.84

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Solution

The fourth proportional to 8,222.87, 12,331.51 and 2,674.84 is: 4,011.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,222.87 : 12,331.51 = 2,674.84 : x
  2. Step 2: Convert to fraction form
    8,222.87/12,331.51 = 2,674.84/x
  3. Step 3: Cross multiply
    8,222.87x = 12,331.51 × 2,674.84
  4. Step 4: Simplify right side
    8,222.87x = 32,984,816.21
  5. Step 5: Solve for x
    x = 32,984,816.21/8,222.87
  6. Step 6: Final answer
    x = 4,011.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.