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Finding the Fourth Proportional to 8,279.76, 12,416.00 and 4,383.26

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Solution

The fourth proportional to 8,279.76, 12,416.00 and 4,383.26 is: 6,572.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,279.76 : 12,416.00 = 4,383.26 : x
  2. Step 2: Convert to fraction form
    8,279.76/12,416.00 = 4,383.26/x
  3. Step 3: Cross multiply
    8,279.76x = 12,416.00 × 4,383.26
  4. Step 4: Simplify right side
    8,279.76x = 54,422,472.16
  5. Step 5: Solve for x
    x = 54,422,472.16/8,279.76
  6. Step 6: Final answer
    x = 6,572.95

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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.