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Finding the Fourth Proportional to 8,212.32, 12,318.48 and 6,976.80

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Solution

The fourth proportional to 8,212.32, 12,318.48 and 6,976.80 is: 10,465.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,212.32 : 12,318.48 = 6,976.80 : x
  2. Step 2: Convert to fraction form
    8,212.32/12,318.48 = 6,976.80/x
  3. Step 3: Cross multiply
    8,212.32x = 12,318.48 × 6,976.80
  4. Step 4: Simplify right side
    8,212.32x = 85,943,571.26
  5. Step 5: Solve for x
    x = 85,943,571.26/8,212.32
  6. Step 6: Final answer
    x = 10,465.20

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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.