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Finding the Fourth Proportional to 3,792, 5,687.96 and 2,242.80

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Solution

The fourth proportional to 3,792, 5,687.96 and 2,242.80 is: 3,364.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,792 : 5,687.96 = 2,242.80 : x
  2. Step 2: Convert to fraction form
    3,792/5,687.96 = 2,242.80/x
  3. Step 3: Cross multiply
    3,792x = 5,687.96 × 2,242.80
  4. Step 4: Simplify right side
    3,792x = 12,756,956.69
  5. Step 5: Solve for x
    x = 12,756,956.69/3,792
  6. Step 6: Final answer
    x = 3,364.18

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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.