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Finding the Fourth Proportional to 8,546.50, 12,816 and 4,327.18

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Solution

The fourth proportional to 8,546.50, 12,816 and 4,327.18 is: 6,488.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,546.50 : 12,816 = 4,327.18 : x
  2. Step 2: Convert to fraction form
    8,546.50/12,816 = 4,327.18/x
  3. Step 3: Cross multiply
    8,546.50x = 12,816 × 4,327.18
  4. Step 4: Simplify right side
    8,546.50x = 55,457,138.88
  5. Step 5: Solve for x
    x = 55,457,138.88/8,546.50
  6. Step 6: Final answer
    x = 6,488.87

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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.