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Finding the Fourth Proportional to 11,759.88, 17,642.79 and 5,187.90

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Solution

The fourth proportional to 11,759.88, 17,642.79 and 5,187.90 is: 7,783.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,759.88 : 17,642.79 = 5,187.90 : x
  2. Step 2: Convert to fraction form
    11,759.88/17,642.79 = 5,187.90/x
  3. Step 3: Cross multiply
    11,759.88x = 17,642.79 × 5,187.90
  4. Step 4: Simplify right side
    11,759.88x = 91,529,030.24
  5. Step 5: Solve for x
    x = 91,529,030.24/11,759.88
  6. Step 6: Final answer
    x = 7,783.16

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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.