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Finding the Fourth Proportional to 11,986.78, 17,980.17 and 4,193.80

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Solution

The fourth proportional to 11,986.78, 17,980.17 and 4,193.80 is: 6,290.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,986.78 : 17,980.17 = 4,193.80 : x
  2. Step 2: Convert to fraction form
    11,986.78/17,980.17 = 4,193.80/x
  3. Step 3: Cross multiply
    11,986.78x = 17,980.17 × 4,193.80
  4. Step 4: Simplify right side
    11,986.78x = 75,405,236.95
  5. Step 5: Solve for x
    x = 75,405,236.95/11,986.78
  6. Step 6: Final answer
    x = 6,290.70

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1.5x scale

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.