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Finding the Fourth Proportional to 8,463.46, 12,697.80 and 3,787.39

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Solution

The fourth proportional to 8,463.46, 12,697.80 and 3,787.39 is: 5,682.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,463.46 : 12,697.80 = 3,787.39 : x
  2. Step 2: Convert to fraction form
    8,463.46/12,697.80 = 3,787.39/x
  3. Step 3: Cross multiply
    8,463.46x = 12,697.80 × 3,787.39
  4. Step 4: Simplify right side
    8,463.46x = 48,091,520.74
  5. Step 5: Solve for x
    x = 48,091,520.74/8,463.46
  6. Step 6: Final answer
    x = 5,682.25

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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.