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Finding the Fourth Proportional to 27,431.96, 41,143.72 and 8,709.54

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Solution

The fourth proportional to 27,431.96, 41,143.72 and 8,709.54 is: 13,062.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,431.96 : 41,143.72 = 8,709.54 : x
  2. Step 2: Convert to fraction form
    27,431.96/41,143.72 = 8,709.54/x
  3. Step 3: Cross multiply
    27,431.96x = 41,143.72 × 8,709.54
  4. Step 4: Simplify right side
    27,431.96x = 358,342,875.09
  5. Step 5: Solve for x
    x = 358,342,875.09/27,431.96
  6. Step 6: Final answer
    x = 13,062.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.