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Finding the Fourth Proportional to 11,847, 17,770.59 and 4,055.88

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Solution

The fourth proportional to 11,847, 17,770.59 and 4,055.88 is: 6,083.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,847 : 17,770.59 = 4,055.88 : x
  2. Step 2: Convert to fraction form
    11,847/17,770.59 = 4,055.88/x
  3. Step 3: Cross multiply
    11,847x = 17,770.59 × 4,055.88
  4. Step 4: Simplify right side
    11,847x = 72,075,380.57
  5. Step 5: Solve for x
    x = 72,075,380.57/11,847
  6. Step 6: Final answer
    x = 6,083.85

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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.