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Finding the Fourth Proportional to 9,212.40, 12,711.60 and 8,745.48

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Solution

The fourth proportional to 9,212.40, 12,711.60 and 8,745.48 is: 12,067.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,212.40 : 12,711.60 = 8,745.48 : x
  2. Step 2: Convert to fraction form
    9,212.40/12,711.60 = 8,745.48/x
  3. Step 3: Cross multiply
    9,212.40x = 12,711.60 × 8,745.48
  4. Step 4: Simplify right side
    9,212.40x = 111,169,043.57
  5. Step 5: Solve for x
    x = 111,169,043.57/9,212.40
  6. Step 6: Final answer
    x = 12,067.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.