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Finding the Fourth Proportional to 2,146.97, 3,218.88 and 685.28

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Solution

The fourth proportional to 2,146.97, 3,218.88 and 685.28 is: 1,027.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.97 : 3,218.88 = 685.28 : x
  2. Step 2: Convert to fraction form
    2,146.97/3,218.88 = 685.28/x
  3. Step 3: Cross multiply
    2,146.97x = 3,218.88 × 685.28
  4. Step 4: Simplify right side
    2,146.97x = 2,205,834.09
  5. Step 5: Solve for x
    x = 2,205,834.09/2,146.97
  6. Step 6: Final answer
    x = 1,027.42

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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.