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Finding the Fourth Proportional to 11,778.68, 17,667.99 and 3,013.58

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Solution

The fourth proportional to 11,778.68, 17,667.99 and 3,013.58 is: 4,520.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,778.68 : 17,667.99 = 3,013.58 : x
  2. Step 2: Convert to fraction form
    11,778.68/17,667.99 = 3,013.58/x
  3. Step 3: Cross multiply
    11,778.68x = 17,667.99 × 3,013.58
  4. Step 4: Simplify right side
    11,778.68x = 53,243,812.96
  5. Step 5: Solve for x
    x = 53,243,812.96/11,778.68
  6. Step 6: Final answer
    x = 4,520.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.