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Finding the Fourth Proportional to 8,183.84, 12,274.52 and 2,988.50

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Solution

The fourth proportional to 8,183.84, 12,274.52 and 2,988.50 is: 4,482.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,183.84 : 12,274.52 = 2,988.50 : x
  2. Step 2: Convert to fraction form
    8,183.84/12,274.52 = 2,988.50/x
  3. Step 3: Cross multiply
    8,183.84x = 12,274.52 × 2,988.50
  4. Step 4: Simplify right side
    8,183.84x = 36,682,403.02
  5. Step 5: Solve for x
    x = 36,682,403.02/8,183.84
  6. Step 6: Final answer
    x = 4,482.30

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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.