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Finding the Fourth Proportional to 27,912.60, 41,868.90 and 7,136.10

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Solution

The fourth proportional to 27,912.60, 41,868.90 and 7,136.10 is: 10,704.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,912.60 : 41,868.90 = 7,136.10 : x
  2. Step 2: Convert to fraction form
    27,912.60/41,868.90 = 7,136.10/x
  3. Step 3: Cross multiply
    27,912.60x = 41,868.90 × 7,136.10
  4. Step 4: Simplify right side
    27,912.60x = 298,780,657.29
  5. Step 5: Solve for x
    x = 298,780,657.29/27,912.60
  6. Step 6: Final answer
    x = 10,704.15

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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.