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Finding the Fourth Proportional to 8,004.50, 12,007.95 and 3,843.72

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Solution

The fourth proportional to 8,004.50, 12,007.95 and 3,843.72 is: 5,766.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,004.50 : 12,007.95 = 3,843.72 : x
  2. Step 2: Convert to fraction form
    8,004.50/12,007.95 = 3,843.72/x
  3. Step 3: Cross multiply
    8,004.50x = 12,007.95 × 3,843.72
  4. Step 4: Simplify right side
    8,004.50x = 46,155,197.57
  5. Step 5: Solve for x
    x = 46,155,197.57/8,004.50
  6. Step 6: Final answer
    x = 5,766.16

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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.