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Finding the Fourth Proportional to 11,872.56, 17,771.64 and 7,926.96

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Solution

The fourth proportional to 11,872.56, 17,771.64 and 7,926.96 is: 11,865.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,872.56 : 17,771.64 = 7,926.96 : x
  2. Step 2: Convert to fraction form
    11,872.56/17,771.64 = 7,926.96/x
  3. Step 3: Cross multiply
    11,872.56x = 17,771.64 × 7,926.96
  4. Step 4: Simplify right side
    11,872.56x = 140,875,079.41
  5. Step 5: Solve for x
    x = 140,875,079.41/11,872.56
  6. Step 6: Final answer
    x = 11,865.60

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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.