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Finding the Fourth Proportional to 3,787.46, 5,679.92 and 1,446.91

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Solution

The fourth proportional to 3,787.46, 5,679.92 and 1,446.91 is: 2,169.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,787.46 : 5,679.92 = 1,446.91 : x
  2. Step 2: Convert to fraction form
    3,787.46/5,679.92 = 1,446.91/x
  3. Step 3: Cross multiply
    3,787.46x = 5,679.92 × 1,446.91
  4. Step 4: Simplify right side
    3,787.46x = 8,218,354.41
  5. Step 5: Solve for x
    x = 8,218,354.41/3,787.46
  6. Step 6: Final answer
    x = 2,169.89

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1.5x scale

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.