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Finding the Fourth Proportional to 13,764.88, 18,995.79 and 7,796.53

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Solution

The fourth proportional to 13,764.88, 18,995.79 and 7,796.53 is: 10,759.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,764.88 : 18,995.79 = 7,796.53 : x
  2. Step 2: Convert to fraction form
    13,764.88/18,995.79 = 7,796.53/x
  3. Step 3: Cross multiply
    13,764.88x = 18,995.79 × 7,796.53
  4. Step 4: Simplify right side
    13,764.88x = 148,101,246.61
  5. Step 5: Solve for x
    x = 148,101,246.61/13,764.88
  6. Step 6: Final answer
    x = 10,759.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.