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Finding the Fourth Proportional to 26,698.63, 40,046.56 and 7,978.82

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Solution

The fourth proportional to 26,698.63, 40,046.56 and 7,978.82 is: 11,967.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,698.63 : 40,046.56 = 7,978.82 : x
  2. Step 2: Convert to fraction form
    26,698.63/40,046.56 = 7,978.82/x
  3. Step 3: Cross multiply
    26,698.63x = 40,046.56 × 7,978.82
  4. Step 4: Simplify right side
    26,698.63x = 319,524,093.63
  5. Step 5: Solve for x
    x = 319,524,093.63/26,698.63
  6. Step 6: Final answer
    x = 11,967.81

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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.