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Finding the Fourth Proportional to 3,792.80, 5,688.96 and 1,197.60

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Solution

The fourth proportional to 3,792.80, 5,688.96 and 1,197.60 is: 1,796.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,792.80 : 5,688.96 = 1,197.60 : x
  2. Step 2: Convert to fraction form
    3,792.80/5,688.96 = 1,197.60/x
  3. Step 3: Cross multiply
    3,792.80x = 5,688.96 × 1,197.60
  4. Step 4: Simplify right side
    3,792.80x = 6,813,098.50
  5. Step 5: Solve for x
    x = 6,813,098.50/3,792.80
  6. Step 6: Final answer
    x = 1,796.32

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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.