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Finding the Fourth Proportional to 8,229, 11,355.60 and 4,644

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Solution

The fourth proportional to 8,229, 11,355.60 and 4,644 is: 6,408.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,229 : 11,355.60 = 4,644 : x
  2. Step 2: Convert to fraction form
    8,229/11,355.60 = 4,644/x
  3. Step 3: Cross multiply
    8,229x = 11,355.60 × 4,644
  4. Step 4: Simplify right side
    8,229x = 52,735,406.40
  5. Step 5: Solve for x
    x = 52,735,406.40/8,229
  6. Step 6: Final answer
    x = 6,408.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.