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Finding the Fourth Proportional to 11,667, 17,500.50 and 7,781.43

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Solution

The fourth proportional to 11,667, 17,500.50 and 7,781.43 is: 11,672.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,667 : 17,500.50 = 7,781.43 : x
  2. Step 2: Convert to fraction form
    11,667/17,500.50 = 7,781.43/x
  3. Step 3: Cross multiply
    11,667x = 17,500.50 × 7,781.43
  4. Step 4: Simplify right side
    11,667x = 136,178,915.72
  5. Step 5: Solve for x
    x = 136,178,915.72/11,667
  6. Step 6: Final answer
    x = 11,672.15

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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.