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Finding the Fourth Proportional to 8,109.95, 12,163.87 and 2,563.85

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Solution

The fourth proportional to 8,109.95, 12,163.87 and 2,563.85 is: 3,845.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,109.95 : 12,163.87 = 2,563.85 : x
  2. Step 2: Convert to fraction form
    8,109.95/12,163.87 = 2,563.85/x
  3. Step 3: Cross multiply
    8,109.95x = 12,163.87 × 2,563.85
  4. Step 4: Simplify right side
    8,109.95x = 31,186,371.71
  5. Step 5: Solve for x
    x = 31,186,371.71/8,109.95
  6. Step 6: Final answer
    x = 3,845.45

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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.