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Finding the Fourth Proportional to 11,881, 17,818.67 and 3,983.80

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Solution

The fourth proportional to 11,881, 17,818.67 and 3,983.80 is: 5,974.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,881 : 17,818.67 = 3,983.80 : x
  2. Step 2: Convert to fraction form
    11,881/17,818.67 = 3,983.80/x
  3. Step 3: Cross multiply
    11,881x = 17,818.67 × 3,983.80
  4. Step 4: Simplify right side
    11,881x = 70,985,908.53
  5. Step 5: Solve for x
    x = 70,985,908.53/11,881
  6. Step 6: Final answer
    x = 5,974.74

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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.