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Finding the Fourth Proportional to 9,992.92, 13,790.66 and 5,743.92

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Solution

The fourth proportional to 9,992.92, 13,790.66 and 5,743.92 is: 7,926.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,992.92 : 13,790.66 = 5,743.92 : x
  2. Step 2: Convert to fraction form
    9,992.92/13,790.66 = 5,743.92/x
  3. Step 3: Cross multiply
    9,992.92x = 13,790.66 × 5,743.92
  4. Step 4: Simplify right side
    9,992.92x = 79,212,447.79
  5. Step 5: Solve for x
    x = 79,212,447.79/9,992.92
  6. Step 6: Final answer
    x = 7,926.86

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