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Finding the Fourth Proportional to 8,133.69, 12,205.16 and 3,751.16

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Solution

The fourth proportional to 8,133.69, 12,205.16 and 3,751.16 is: 5,628.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,133.69 : 12,205.16 = 3,751.16 : x
  2. Step 2: Convert to fraction form
    8,133.69/12,205.16 = 3,751.16/x
  3. Step 3: Cross multiply
    8,133.69x = 12,205.16 × 3,751.16
  4. Step 4: Simplify right side
    8,133.69x = 45,783,428.20
  5. Step 5: Solve for x
    x = 45,783,428.20/8,133.69
  6. Step 6: Final answer
    x = 5,628.86

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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.