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Finding the Fourth Proportional to 11,971.95, 17,957.97 and 4,178.94

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Solution

The fourth proportional to 11,971.95, 17,957.97 and 4,178.94 is: 6,268.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,971.95 : 17,957.97 = 4,178.94 : x
  2. Step 2: Convert to fraction form
    11,971.95/17,957.97 = 4,178.94/x
  3. Step 3: Cross multiply
    11,971.95x = 17,957.97 × 4,178.94
  4. Step 4: Simplify right side
    11,971.95x = 75,045,279.15
  5. Step 5: Solve for x
    x = 75,045,279.15/11,971.95
  6. Step 6: Final answer
    x = 6,268.43

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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.