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Finding the Fourth Proportional to 3,831.84, 5,748.84 and 2,792.88

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Solution

The fourth proportional to 3,831.84, 5,748.84 and 2,792.88 is: 4,190.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,831.84 : 5,748.84 = 2,792.88 : x
  2. Step 2: Convert to fraction form
    3,831.84/5,748.84 = 2,792.88/x
  3. Step 3: Cross multiply
    3,831.84x = 5,748.84 × 2,792.88
  4. Step 4: Simplify right side
    3,831.84x = 16,055,820.26
  5. Step 5: Solve for x
    x = 16,055,820.26/3,831.84
  6. Step 6: Final answer
    x = 4,190.11

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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.