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Finding the Fourth Proportional to 8,228.54, 11,361.61 and 8,212.13

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Solution

The fourth proportional to 8,228.54, 11,361.61 and 8,212.13 is: 11,338.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,228.54 : 11,361.61 = 8,212.13 : x
  2. Step 2: Convert to fraction form
    8,228.54/11,361.61 = 8,212.13/x
  3. Step 3: Cross multiply
    8,228.54x = 11,361.61 × 8,212.13
  4. Step 4: Simplify right side
    8,228.54x = 93,303,057.00
  5. Step 5: Solve for x
    x = 93,303,057.00/8,228.54
  6. Step 6: Final answer
    x = 11,338.96

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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.