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Finding the Fourth Proportional to 11,967.88, 17,968.06 and 8,261

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Solution

The fourth proportional to 11,967.88, 17,968.06 and 8,261 is: 12,402.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,967.88 : 17,968.06 = 8,261 : x
  2. Step 2: Convert to fraction form
    11,967.88/17,968.06 = 8,261/x
  3. Step 3: Cross multiply
    11,967.88x = 17,968.06 × 8,261
  4. Step 4: Simplify right side
    11,967.88x = 148,434,143.66
  5. Step 5: Solve for x
    x = 148,434,143.66/11,967.88
  6. Step 6: Final answer
    x = 12,402.71

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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.