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Finding the Fourth Proportional to 11,771.76, 17,664.12 and 7,158

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Solution

The fourth proportional to 11,771.76, 17,664.12 and 7,158 is: 10,740.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,771.76 : 17,664.12 = 7,158 : x
  2. Step 2: Convert to fraction form
    11,771.76/17,664.12 = 7,158/x
  3. Step 3: Cross multiply
    11,771.76x = 17,664.12 × 7,158
  4. Step 4: Simplify right side
    11,771.76x = 126,439,770.96
  5. Step 5: Solve for x
    x = 126,439,770.96/11,771.76
  6. Step 6: Final answer
    x = 10,740.94

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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.