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Finding the Fourth Proportional to 11,672.78, 17,512.05 and 3,881.66

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Solution

The fourth proportional to 11,672.78, 17,512.05 and 3,881.66 is: 5,823.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,672.78 : 17,512.05 = 3,881.66 : x
  2. Step 2: Convert to fraction form
    11,672.78/17,512.05 = 3,881.66/x
  3. Step 3: Cross multiply
    11,672.78x = 17,512.05 × 3,881.66
  4. Step 4: Simplify right side
    11,672.78x = 67,975,824.00
  5. Step 5: Solve for x
    x = 67,975,824.00/11,672.78
  6. Step 6: Final answer
    x = 5,823.45

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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.