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Finding the Fourth Proportional to 11,938.16, 17,882.63 and 6,992.81

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Solution

The fourth proportional to 11,938.16, 17,882.63 and 6,992.81 is: 10,474.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,938.16 : 17,882.63 = 6,992.81 : x
  2. Step 2: Convert to fraction form
    11,938.16/17,882.63 = 6,992.81/x
  3. Step 3: Cross multiply
    11,938.16x = 17,882.63 × 6,992.81
  4. Step 4: Simplify right side
    11,938.16x = 125,049,735.74
  5. Step 5: Solve for x
    x = 125,049,735.74/11,938.16
  6. Step 6: Final answer
    x = 10,474.79

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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.