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Finding the Fourth Proportional to 11,757.05, 17,636.04 and 5,181.74

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Solution

The fourth proportional to 11,757.05, 17,636.04 and 5,181.74 is: 7,772.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,757.05 : 17,636.04 = 5,181.74 : x
  2. Step 2: Convert to fraction form
    11,757.05/17,636.04 = 5,181.74/x
  3. Step 3: Cross multiply
    11,757.05x = 17,636.04 × 5,181.74
  4. Step 4: Simplify right side
    11,757.05x = 91,385,373.91
  5. Step 5: Solve for x
    x = 91,385,373.91/11,757.05
  6. Step 6: Final answer
    x = 7,772.81

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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.