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Finding the Fourth Proportional to 2,792.55, 4,187.84 and 817.64

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Solution

The fourth proportional to 2,792.55, 4,187.84 and 817.64 is: 1,226.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,792.55 : 4,187.84 = 817.64 : x
  2. Step 2: Convert to fraction form
    2,792.55/4,187.84 = 817.64/x
  3. Step 3: Cross multiply
    2,792.55x = 4,187.84 × 817.64
  4. Step 4: Simplify right side
    2,792.55x = 3,424,124.56
  5. Step 5: Solve for x
    x = 3,424,124.56/2,792.55
  6. Step 6: Final answer
    x = 1,226.16

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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.