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Finding the Fourth Proportional to 8,107.06, 12,149.15 and 3,828.21

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Solution

The fourth proportional to 8,107.06, 12,149.15 and 3,828.21 is: 5,736.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,107.06 : 12,149.15 = 3,828.21 : x
  2. Step 2: Convert to fraction form
    8,107.06/12,149.15 = 3,828.21/x
  3. Step 3: Cross multiply
    8,107.06x = 12,149.15 × 3,828.21
  4. Step 4: Simplify right side
    8,107.06x = 46,509,561.03
  5. Step 5: Solve for x
    x = 46,509,561.03/8,107.06
  6. Step 6: Final answer
    x = 5,736.92

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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.