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Finding the Fourth Proportional to 2,792.11, 4,188.90 and 844.37

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Solution

The fourth proportional to 2,792.11, 4,188.90 and 844.37 is: 1,266.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,792.11 : 4,188.90 = 844.37 : x
  2. Step 2: Convert to fraction form
    2,792.11/4,188.90 = 844.37/x
  3. Step 3: Cross multiply
    2,792.11x = 4,188.90 × 844.37
  4. Step 4: Simplify right side
    2,792.11x = 3,536,981.49
  5. Step 5: Solve for x
    x = 3,536,981.49/2,792.11
  6. Step 6: Final answer
    x = 1,266.78

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1.5x scale

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.