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Finding the Fourth Proportional to 8,178.86, 12,259.50 and 3,241.64

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Solution

The fourth proportional to 8,178.86, 12,259.50 and 3,241.64 is: 4,858.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,178.86 : 12,259.50 = 3,241.64 : x
  2. Step 2: Convert to fraction form
    8,178.86/12,259.50 = 3,241.64/x
  3. Step 3: Cross multiply
    8,178.86x = 12,259.50 × 3,241.64
  4. Step 4: Simplify right side
    8,178.86x = 39,740,885.58
  5. Step 5: Solve for x
    x = 39,740,885.58/8,178.86
  6. Step 6: Final answer
    x = 4,858.98

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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.