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Finding the Fourth Proportional to 21,067.52, 31,600.32 and 7,918.88

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Solution

The fourth proportional to 21,067.52, 31,600.32 and 7,918.88 is: 11,877.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,067.52 : 31,600.32 = 7,918.88 : x
  2. Step 2: Convert to fraction form
    21,067.52/31,600.32 = 7,918.88/x
  3. Step 3: Cross multiply
    21,067.52x = 31,600.32 × 7,918.88
  4. Step 4: Simplify right side
    21,067.52x = 250,239,142.04
  5. Step 5: Solve for x
    x = 250,239,142.04/21,067.52
  6. Step 6: Final answer
    x = 11,877.96

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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.