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Finding the Fourth Proportional to 8,178.44, 12,245.65 and 4,274.64

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Solution

The fourth proportional to 8,178.44, 12,245.65 and 4,274.64 is: 6,400.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,178.44 : 12,245.65 = 4,274.64 : x
  2. Step 2: Convert to fraction form
    8,178.44/12,245.65 = 4,274.64/x
  3. Step 3: Cross multiply
    8,178.44x = 12,245.65 × 4,274.64
  4. Step 4: Simplify right side
    8,178.44x = 52,345,734.63
  5. Step 5: Solve for x
    x = 52,345,734.63/8,178.44
  6. Step 6: Final answer
    x = 6,400.46

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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.