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Finding the Fourth Proportional to 8,209.84, 12,311.58 and 2,661.85

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Solution

The fourth proportional to 8,209.84, 12,311.58 and 2,661.85 is: 3,991.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,209.84 : 12,311.58 = 2,661.85 : x
  2. Step 2: Convert to fraction form
    8,209.84/12,311.58 = 2,661.85/x
  3. Step 3: Cross multiply
    8,209.84x = 12,311.58 × 2,661.85
  4. Step 4: Simplify right side
    8,209.84x = 32,771,579.22
  5. Step 5: Solve for x
    x = 32,771,579.22/8,209.84
  6. Step 6: Final answer
    x = 3,991.74

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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.