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Finding the Fourth Proportional to 8,211.64, 12,308.82 and 4,099

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Solution

The fourth proportional to 8,211.64, 12,308.82 and 4,099 is: 6,144.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,211.64 : 12,308.82 = 4,099 : x
  2. Step 2: Convert to fraction form
    8,211.64/12,308.82 = 4,099/x
  3. Step 3: Cross multiply
    8,211.64x = 12,308.82 × 4,099
  4. Step 4: Simplify right side
    8,211.64x = 50,453,853.18
  5. Step 5: Solve for x
    x = 50,453,853.18/8,211.64
  6. Step 6: Final answer
    x = 6,144.19

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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.