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Finding the Fourth Proportional to 7,778.75, 11,661.23 and 3,033.81

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Solution

The fourth proportional to 7,778.75, 11,661.23 and 3,033.81 is: 4,548.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,778.75 : 11,661.23 = 3,033.81 : x
  2. Step 2: Convert to fraction form
    7,778.75/11,661.23 = 3,033.81/x
  3. Step 3: Cross multiply
    7,778.75x = 11,661.23 × 3,033.81
  4. Step 4: Simplify right side
    7,778.75x = 35,377,941.02
  5. Step 5: Solve for x
    x = 35,377,941.02/7,778.75
  6. Step 6: Final answer
    x = 4,548.03

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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.