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Finding the Fourth Proportional to 27,915.80, 41,865.52 and 8,189.68

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Solution

The fourth proportional to 27,915.80, 41,865.52 and 8,189.68 is: 12,282.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,915.80 : 41,865.52 = 8,189.68 : x
  2. Step 2: Convert to fraction form
    27,915.80/41,865.52 = 8,189.68/x
  3. Step 3: Cross multiply
    27,915.80x = 41,865.52 × 8,189.68
  4. Step 4: Simplify right side
    27,915.80x = 342,865,211.83
  5. Step 5: Solve for x
    x = 342,865,211.83/27,915.80
  6. Step 6: Final answer
    x = 12,282.12

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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.