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Finding the Fourth Proportional to 8,192.88, 11,360.76 and 7,915.80

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Solution

The fourth proportional to 8,192.88, 11,360.76 and 7,915.80 is: 10,976.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,192.88 : 11,360.76 = 7,915.80 : x
  2. Step 2: Convert to fraction form
    8,192.88/11,360.76 = 7,915.80/x
  3. Step 3: Cross multiply
    8,192.88x = 11,360.76 × 7,915.80
  4. Step 4: Simplify right side
    8,192.88x = 89,929,504.01
  5. Step 5: Solve for x
    x = 89,929,504.01/8,192.88
  6. Step 6: Final answer
    x = 10,976.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.