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Finding the Fourth Proportional to 3,792.92, 5,239.40 and 3,209.72

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Solution

The fourth proportional to 3,792.92, 5,239.40 and 3,209.72 is: 4,433.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,792.92 : 5,239.40 = 3,209.72 : x
  2. Step 2: Convert to fraction form
    3,792.92/5,239.40 = 3,209.72/x
  3. Step 3: Cross multiply
    3,792.92x = 5,239.40 × 3,209.72
  4. Step 4: Simplify right side
    3,792.92x = 16,817,006.97
  5. Step 5: Solve for x
    x = 16,817,006.97/3,792.92
  6. Step 6: Final answer
    x = 4,433.79

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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.