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Finding the Fourth Proportional to 2,771.41, 4,153.97 and 922.09

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Solution

The fourth proportional to 2,771.41, 4,153.97 and 922.09 is: 1,382.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.41 : 4,153.97 = 922.09 : x
  2. Step 2: Convert to fraction form
    2,771.41/4,153.97 = 922.09/x
  3. Step 3: Cross multiply
    2,771.41x = 4,153.97 × 922.09
  4. Step 4: Simplify right side
    2,771.41x = 3,830,326.12
  5. Step 5: Solve for x
    x = 3,830,326.12/2,771.41
  6. Step 6: Final answer
    x = 1,382.09

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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.