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Finding the Fourth Proportional to 26,697.94, 40,046.37 and 7,978.03

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Solution

The fourth proportional to 26,697.94, 40,046.37 and 7,978.03 is: 11,966.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,697.94 : 40,046.37 = 7,978.03 : x
  2. Step 2: Convert to fraction form
    26,697.94/40,046.37 = 7,978.03/x
  3. Step 3: Cross multiply
    26,697.94x = 40,046.37 × 7,978.03
  4. Step 4: Simplify right side
    26,697.94x = 319,491,141.25
  5. Step 5: Solve for x
    x = 319,491,141.25/26,697.94
  6. Step 6: Final answer
    x = 11,966.88

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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.