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Finding the Fourth Proportional to 27,915.18, 41,876.96 and 8,191.41

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Solution

The fourth proportional to 27,915.18, 41,876.96 and 8,191.41 is: 12,288.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,915.18 : 41,876.96 = 8,191.41 : x
  2. Step 2: Convert to fraction form
    27,915.18/41,876.96 = 8,191.41/x
  3. Step 3: Cross multiply
    27,915.18x = 41,876.96 × 8,191.41
  4. Step 4: Simplify right side
    27,915.18x = 343,031,307.96
  5. Step 5: Solve for x
    x = 343,031,307.96/27,915.18
  6. Step 6: Final answer
    x = 12,288.34

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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.