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Finding the Fourth Proportional to 28,754.50, 43,131.75 and 7,978

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Solution

The fourth proportional to 28,754.50, 43,131.75 and 7,978 is: 11,967

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,754.50 : 43,131.75 = 7,978 : x
  2. Step 2: Convert to fraction form
    28,754.50/43,131.75 = 7,978/x
  3. Step 3: Cross multiply
    28,754.50x = 43,131.75 × 7,978
  4. Step 4: Simplify right side
    28,754.50x = 344,105,101.50
  5. Step 5: Solve for x
    x = 344,105,101.50/28,754.50
  6. Step 6: Final answer
    x = 11,967

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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.