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Finding the Fourth Proportional to 8,279.04, 12,422.72 and 3,896

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Solution

The fourth proportional to 8,279.04, 12,422.72 and 3,896 is: 5,845.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,279.04 : 12,422.72 = 3,896 : x
  2. Step 2: Convert to fraction form
    8,279.04/12,422.72 = 3,896/x
  3. Step 3: Cross multiply
    8,279.04x = 12,422.72 × 3,896
  4. Step 4: Simplify right side
    8,279.04x = 48,398,917.12
  5. Step 5: Solve for x
    x = 48,398,917.12/8,279.04
  6. Step 6: Final answer
    x = 5,845.96

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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.