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Finding the Fourth Proportional to 11,908, 16,446.78 and 7,922.20

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Solution

The fourth proportional to 11,908, 16,446.78 and 7,922.20 is: 10,941.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,908 : 16,446.78 = 7,922.20 : x
  2. Step 2: Convert to fraction form
    11,908/16,446.78 = 7,922.20/x
  3. Step 3: Cross multiply
    11,908x = 16,446.78 × 7,922.20
  4. Step 4: Simplify right side
    11,908x = 130,294,680.52
  5. Step 5: Solve for x
    x = 130,294,680.52/11,908
  6. Step 6: Final answer
    x = 10,941.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.