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Finding the Fourth Proportional to 2,167.77, 2,991.09 and 1,283.73

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Solution

The fourth proportional to 2,167.77, 2,991.09 and 1,283.73 is: 1,771.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.77 : 2,991.09 = 1,283.73 : x
  2. Step 2: Convert to fraction form
    2,167.77/2,991.09 = 1,283.73/x
  3. Step 3: Cross multiply
    2,167.77x = 2,991.09 × 1,283.73
  4. Step 4: Simplify right side
    2,167.77x = 3,839,751.97
  5. Step 5: Solve for x
    x = 3,839,751.97/2,167.77
  6. Step 6: Final answer
    x = 1,771.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.