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Finding the Fourth Proportional to 8,490.42, 12,731.64 and 3,226.44

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Solution

The fourth proportional to 8,490.42, 12,731.64 and 3,226.44 is: 4,838.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,490.42 : 12,731.64 = 3,226.44 : x
  2. Step 2: Convert to fraction form
    8,490.42/12,731.64 = 3,226.44/x
  3. Step 3: Cross multiply
    8,490.42x = 12,731.64 × 3,226.44
  4. Step 4: Simplify right side
    8,490.42x = 41,077,872.56
  5. Step 5: Solve for x
    x = 41,077,872.56/8,490.42
  6. Step 6: Final answer
    x = 4,838.14

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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.