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Finding the Fourth Proportional to 12,392.22, 17,101.92 and 7,912.38

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Solution

The fourth proportional to 12,392.22, 17,101.92 and 7,912.38 is: 10,919.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,392.22 : 17,101.92 = 7,912.38 : x
  2. Step 2: Convert to fraction form
    12,392.22/17,101.92 = 7,912.38/x
  3. Step 3: Cross multiply
    12,392.22x = 17,101.92 × 7,912.38
  4. Step 4: Simplify right side
    12,392.22x = 135,316,889.77
  5. Step 5: Solve for x
    x = 135,316,889.77/12,392.22
  6. Step 6: Final answer
    x = 10,919.50

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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.