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Finding the Fourth Proportional to 15,915.68, 23,855.52 and 8,108

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Solution

The fourth proportional to 15,915.68, 23,855.52 and 8,108 is: 12,152.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,915.68 : 23,855.52 = 8,108 : x
  2. Step 2: Convert to fraction form
    15,915.68/23,855.52 = 8,108/x
  3. Step 3: Cross multiply
    15,915.68x = 23,855.52 × 8,108
  4. Step 4: Simplify right side
    15,915.68x = 193,420,556.16
  5. Step 5: Solve for x
    x = 193,420,556.16/15,915.68
  6. Step 6: Final answer
    x = 12,152.83

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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.