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Finding the Fourth Proportional to 8,638, 12,939.34 and 4,241.68

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Solution

The fourth proportional to 8,638, 12,939.34 and 4,241.68 is: 6,353.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,638 : 12,939.34 = 4,241.68 : x
  2. Step 2: Convert to fraction form
    8,638/12,939.34 = 4,241.68/x
  3. Step 3: Cross multiply
    8,638x = 12,939.34 × 4,241.68
  4. Step 4: Simplify right side
    8,638x = 54,884,539.69
  5. Step 5: Solve for x
    x = 54,884,539.69/8,638
  6. Step 6: Final answer
    x = 6,353.85

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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.