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Finding the Fourth Proportional to 8,048, 12,072.90 and 7,221.20

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Solution

The fourth proportional to 8,048, 12,072.90 and 7,221.20 is: 10,832.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,048 : 12,072.90 = 7,221.20 : x
  2. Step 2: Convert to fraction form
    8,048/12,072.90 = 7,221.20/x
  3. Step 3: Cross multiply
    8,048x = 12,072.90 × 7,221.20
  4. Step 4: Simplify right side
    8,048x = 87,180,825.48
  5. Step 5: Solve for x
    x = 87,180,825.48/8,048
  6. Step 6: Final answer
    x = 10,832.61

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1.5x scale

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.