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Finding the Fourth Proportional to 3,806.46, 5,705.91 and 1,728

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Solution

The fourth proportional to 3,806.46, 5,705.91 and 1,728 is: 2,590.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.46 : 5,705.91 = 1,728 : x
  2. Step 2: Convert to fraction form
    3,806.46/5,705.91 = 1,728/x
  3. Step 3: Cross multiply
    3,806.46x = 5,705.91 × 1,728
  4. Step 4: Simplify right side
    3,806.46x = 9,859,812.48
  5. Step 5: Solve for x
    x = 9,859,812.48/3,806.46
  6. Step 6: Final answer
    x = 2,590.28

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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.