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Finding the Fourth Proportional to 31,787.84, 47,684.08 and 8,414

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Solution

The fourth proportional to 31,787.84, 47,684.08 and 8,414 is: 12,621.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,787.84 : 47,684.08 = 8,414 : x
  2. Step 2: Convert to fraction form
    31,787.84/47,684.08 = 8,414/x
  3. Step 3: Cross multiply
    31,787.84x = 47,684.08 × 8,414
  4. Step 4: Simplify right side
    31,787.84x = 401,213,849.12
  5. Step 5: Solve for x
    x = 401,213,849.12/31,787.84
  6. Step 6: Final answer
    x = 12,621.61

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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.