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Finding the Fourth Proportional to 3,792, 5,691.20 and 2,820

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Solution

The fourth proportional to 3,792, 5,691.20 and 2,820 is: 4,232.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,792 : 5,691.20 = 2,820 : x
  2. Step 2: Convert to fraction form
    3,792/5,691.20 = 2,820/x
  3. Step 3: Cross multiply
    3,792x = 5,691.20 × 2,820
  4. Step 4: Simplify right side
    3,792x = 16,049,184
  5. Step 5: Solve for x
    x = 16,049,184/3,792
  6. Step 6: Final answer
    x = 4,232.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.