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Finding the Fourth Proportional to 7,778.41, 11,667 and 2,513.41

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Solution

The fourth proportional to 7,778.41, 11,667 and 2,513.41 is: 3,769.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,778.41 : 11,667 = 2,513.41 : x
  2. Step 2: Convert to fraction form
    7,778.41/11,667 = 2,513.41/x
  3. Step 3: Cross multiply
    7,778.41x = 11,667 × 2,513.41
  4. Step 4: Simplify right side
    7,778.41x = 29,323,954.47
  5. Step 5: Solve for x
    x = 29,323,954.47/7,778.41
  6. Step 6: Final answer
    x = 3,769.92

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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.