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Finding the Fourth Proportional to 8,196.78, 12,295.17 and 3,809.11

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Solution

The fourth proportional to 8,196.78, 12,295.17 and 3,809.11 is: 5,713.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,196.78 : 12,295.17 = 3,809.11 : x
  2. Step 2: Convert to fraction form
    8,196.78/12,295.17 = 3,809.11/x
  3. Step 3: Cross multiply
    8,196.78x = 12,295.17 × 3,809.11
  4. Step 4: Simplify right side
    8,196.78x = 46,833,655.00
  5. Step 5: Solve for x
    x = 46,833,655.00/8,196.78
  6. Step 6: Final answer
    x = 5,713.67

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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.