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Finding the Fourth Proportional to 11,757.88, 17,639.79 and 5,185.90

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Solution

The fourth proportional to 11,757.88, 17,639.79 and 5,185.90 is: 7,780.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,757.88 : 17,639.79 = 5,185.90 : x
  2. Step 2: Convert to fraction form
    11,757.88/17,639.79 = 5,185.90/x
  3. Step 3: Cross multiply
    11,757.88x = 17,639.79 × 5,185.90
  4. Step 4: Simplify right side
    11,757.88x = 91,478,186.96
  5. Step 5: Solve for x
    x = 91,478,186.96/11,757.88
  6. Step 6: Final answer
    x = 7,780.16

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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.