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Finding the Fourth Proportional to 3,963.84, 5,472 and 2,785.92

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Solution

The fourth proportional to 3,963.84, 5,472 and 2,785.92 is: 3,845.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,963.84 : 5,472 = 2,785.92 : x
  2. Step 2: Convert to fraction form
    3,963.84/5,472 = 2,785.92/x
  3. Step 3: Cross multiply
    3,963.84x = 5,472 × 2,785.92
  4. Step 4: Simplify right side
    3,963.84x = 15,244,554.24
  5. Step 5: Solve for x
    x = 15,244,554.24/3,963.84
  6. Step 6: Final answer
    x = 3,845.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.