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Finding the Fourth Proportional to 21,956.25, 32,934.87 and 7,917.42

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Solution

The fourth proportional to 21,956.25, 32,934.87 and 7,917.42 is: 11,876.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,956.25 : 32,934.87 = 7,917.42 : x
  2. Step 2: Convert to fraction form
    21,956.25/32,934.87 = 7,917.42/x
  3. Step 3: Cross multiply
    21,956.25x = 32,934.87 × 7,917.42
  4. Step 4: Simplify right side
    21,956.25x = 260,759,198.44
  5. Step 5: Solve for x
    x = 260,759,198.44/21,956.25
  6. Step 6: Final answer
    x = 11,876.31

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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.