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Finding the Fourth Proportional to 11,811.88, 17,720.36 and 5,891.95

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Solution

The fourth proportional to 11,811.88, 17,720.36 and 5,891.95 is: 8,839.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,811.88 : 17,720.36 = 5,891.95 : x
  2. Step 2: Convert to fraction form
    11,811.88/17,720.36 = 5,891.95/x
  3. Step 3: Cross multiply
    11,811.88x = 17,720.36 × 5,891.95
  4. Step 4: Simplify right side
    11,811.88x = 104,407,475.10
  5. Step 5: Solve for x
    x = 104,407,475.10/11,811.88
  6. Step 6: Final answer
    x = 8,839.19

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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.