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Finding the Fourth Proportional to 8,192.90, 12,288 and 3,513.67

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Solution

The fourth proportional to 8,192.90, 12,288 and 3,513.67 is: 5,269.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,192.90 : 12,288 = 3,513.67 : x
  2. Step 2: Convert to fraction form
    8,192.90/12,288 = 3,513.67/x
  3. Step 3: Cross multiply
    8,192.90x = 12,288 × 3,513.67
  4. Step 4: Simplify right side
    8,192.90x = 43,175,915.52
  5. Step 5: Solve for x
    x = 43,175,915.52/8,192.90
  6. Step 6: Final answer
    x = 5,269.92

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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.