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Finding the Fourth Proportional to 8,199, 12,299.70 and 2,650.50

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Solution

The fourth proportional to 8,199, 12,299.70 and 2,650.50 is: 3,976.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,199 : 12,299.70 = 2,650.50 : x
  2. Step 2: Convert to fraction form
    8,199/12,299.70 = 2,650.50/x
  3. Step 3: Cross multiply
    8,199x = 12,299.70 × 2,650.50
  4. Step 4: Simplify right side
    8,199x = 32,600,354.85
  5. Step 5: Solve for x
    x = 32,600,354.85/8,199
  6. Step 6: Final answer
    x = 3,976.14

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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.