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Finding the Fourth Proportional to 26,915.69, 40,375.76 and 8,197.40

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Solution

The fourth proportional to 26,915.69, 40,375.76 and 8,197.40 is: 12,296.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,915.69 : 40,375.76 = 8,197.40 : x
  2. Step 2: Convert to fraction form
    26,915.69/40,375.76 = 8,197.40/x
  3. Step 3: Cross multiply
    26,915.69x = 40,375.76 × 8,197.40
  4. Step 4: Simplify right side
    26,915.69x = 330,976,012.16
  5. Step 5: Solve for x
    x = 330,976,012.16/26,915.69
  6. Step 6: Final answer
    x = 12,296.77

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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.