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Finding the Fourth Proportional to 2,792.19, 4,187.75 and 843.94

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Solution

The fourth proportional to 2,792.19, 4,187.75 and 843.94 is: 1,265.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,792.19 : 4,187.75 = 843.94 : x
  2. Step 2: Convert to fraction form
    2,792.19/4,187.75 = 843.94/x
  3. Step 3: Cross multiply
    2,792.19x = 4,187.75 × 843.94
  4. Step 4: Simplify right side
    2,792.19x = 3,534,209.74
  5. Step 5: Solve for x
    x = 3,534,209.74/2,792.19
  6. Step 6: Final answer
    x = 1,265.75

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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.