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Finding the Fourth Proportional to 12,462.78, 18,699.16 and 5,067.84

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Solution

The fourth proportional to 12,462.78, 18,699.16 and 5,067.84 is: 7,603.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,462.78 : 18,699.16 = 5,067.84 : x
  2. Step 2: Convert to fraction form
    12,462.78/18,699.16 = 5,067.84/x
  3. Step 3: Cross multiply
    12,462.78x = 18,699.16 × 5,067.84
  4. Step 4: Simplify right side
    12,462.78x = 94,764,351.01
  5. Step 5: Solve for x
    x = 94,764,351.01/12,462.78
  6. Step 6: Final answer
    x = 7,603.79

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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.