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Finding the Fourth Proportional to 7,778.66, 11,667.99 and 2,584.54

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Solution

The fourth proportional to 7,778.66, 11,667.99 and 2,584.54 is: 3,876.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,778.66 : 11,667.99 = 2,584.54 : x
  2. Step 2: Convert to fraction form
    7,778.66/11,667.99 = 2,584.54/x
  3. Step 3: Cross multiply
    7,778.66x = 11,667.99 × 2,584.54
  4. Step 4: Simplify right side
    7,778.66x = 30,156,386.87
  5. Step 5: Solve for x
    x = 30,156,386.87/7,778.66
  6. Step 6: Final answer
    x = 3,876.81

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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.