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Finding the Fourth Proportional to 8,109.24, 12,163.48 and 8,021.40

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Solution

The fourth proportional to 8,109.24, 12,163.48 and 8,021.40 is: 12,031.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,109.24 : 12,163.48 = 8,021.40 : x
  2. Step 2: Convert to fraction form
    8,109.24/12,163.48 = 8,021.40/x
  3. Step 3: Cross multiply
    8,109.24x = 12,163.48 × 8,021.40
  4. Step 4: Simplify right side
    8,109.24x = 97,568,138.47
  5. Step 5: Solve for x
    x = 97,568,138.47/8,109.24
  6. Step 6: Final answer
    x = 12,031.72

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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.