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Finding the Fourth Proportional to 8,191.66, 12,289.92 and 3,812.80

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Solution

The fourth proportional to 8,191.66, 12,289.92 and 3,812.80 is: 5,720.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,191.66 : 12,289.92 = 3,812.80 : x
  2. Step 2: Convert to fraction form
    8,191.66/12,289.92 = 3,812.80/x
  3. Step 3: Cross multiply
    8,191.66x = 12,289.92 × 3,812.80
  4. Step 4: Simplify right side
    8,191.66x = 46,859,006.98
  5. Step 5: Solve for x
    x = 46,859,006.98/8,191.66
  6. Step 6: Final answer
    x = 5,720.33

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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.