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Finding the Fourth Proportional to 2,922.68, 4,383.99 and 731.42

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Solution

The fourth proportional to 2,922.68, 4,383.99 and 731.42 is: 1,097.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,922.68 : 4,383.99 = 731.42 : x
  2. Step 2: Convert to fraction form
    2,922.68/4,383.99 = 731.42/x
  3. Step 3: Cross multiply
    2,922.68x = 4,383.99 × 731.42
  4. Step 4: Simplify right side
    2,922.68x = 3,206,537.97
  5. Step 5: Solve for x
    x = 3,206,537.97/2,922.68
  6. Step 6: Final answer
    x = 1,097.12

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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.