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Finding the Fourth Proportional to 8,183.84, 12,276.20 and 2,636.78

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Solution

The fourth proportional to 8,183.84, 12,276.20 and 2,636.78 is: 3,955.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,183.84 : 12,276.20 = 2,636.78 : x
  2. Step 2: Convert to fraction form
    8,183.84/12,276.20 = 2,636.78/x
  3. Step 3: Cross multiply
    8,183.84x = 12,276.20 × 2,636.78
  4. Step 4: Simplify right side
    8,183.84x = 32,369,638.64
  5. Step 5: Solve for x
    x = 32,369,638.64/8,183.84
  6. Step 6: Final answer
    x = 3,955.31

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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.