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Finding the Fourth Proportional to 2,792.95, 4,189.43 and 845.17

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Solution

The fourth proportional to 2,792.95, 4,189.43 and 845.17 is: 1,267.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,792.95 : 4,189.43 = 845.17 : x
  2. Step 2: Convert to fraction form
    2,792.95/4,189.43 = 845.17/x
  3. Step 3: Cross multiply
    2,792.95x = 4,189.43 × 845.17
  4. Step 4: Simplify right side
    2,792.95x = 3,540,772.19
  5. Step 5: Solve for x
    x = 3,540,772.19/2,792.95
  6. Step 6: Final answer
    x = 1,267.75

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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.