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Finding the Fourth Proportional to 27,942.60, 41,913.90 and 7,166.10

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Solution

The fourth proportional to 27,942.60, 41,913.90 and 7,166.10 is: 10,749.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,942.60 : 41,913.90 = 7,166.10 : x
  2. Step 2: Convert to fraction form
    27,942.60/41,913.90 = 7,166.10/x
  3. Step 3: Cross multiply
    27,942.60x = 41,913.90 × 7,166.10
  4. Step 4: Simplify right side
    27,942.60x = 300,359,198.79
  5. Step 5: Solve for x
    x = 300,359,198.79/27,942.60
  6. Step 6: Final answer
    x = 10,749.15

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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.