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Finding the Fourth Proportional to 2,922.57, 4,383.74 and 731.25

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Solution

The fourth proportional to 2,922.57, 4,383.74 and 731.25 is: 1,096.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,922.57 : 4,383.74 = 731.25 : x
  2. Step 2: Convert to fraction form
    2,922.57/4,383.74 = 731.25/x
  3. Step 3: Cross multiply
    2,922.57x = 4,383.74 × 731.25
  4. Step 4: Simplify right side
    2,922.57x = 3,205,606.22
  5. Step 5: Solve for x
    x = 3,205,606.22/2,922.57
  6. Step 6: Final answer
    x = 1,096.84

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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.