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Finding the Fourth Proportional to 11,985.74, 17,978.67 and 4,194.56

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Solution

The fourth proportional to 11,985.74, 17,978.67 and 4,194.56 is: 6,291.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,985.74 : 17,978.67 = 4,194.56 : x
  2. Step 2: Convert to fraction form
    11,985.74/17,978.67 = 4,194.56/x
  3. Step 3: Cross multiply
    11,985.74x = 17,978.67 × 4,194.56
  4. Step 4: Simplify right side
    11,985.74x = 75,412,610.04
  5. Step 5: Solve for x
    x = 75,412,610.04/11,985.74
  6. Step 6: Final answer
    x = 6,291.86

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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.