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Finding the Fourth Proportional to 11,983.01, 17,982.51 and 4,191.82

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Solution

The fourth proportional to 11,983.01, 17,982.51 and 4,191.82 is: 6,290.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,983.01 : 17,982.51 = 4,191.82 : x
  2. Step 2: Convert to fraction form
    11,983.01/17,982.51 = 4,191.82/x
  3. Step 3: Cross multiply
    11,983.01x = 17,982.51 × 4,191.82
  4. Step 4: Simplify right side
    11,983.01x = 75,379,445.07
  5. Step 5: Solve for x
    x = 75,379,445.07/11,983.01
  6. Step 6: Final answer
    x = 6,290.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.