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Finding the Fourth Proportional to 2,922.62, 4,383.93 and 731.35

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Solution

The fourth proportional to 2,922.62, 4,383.93 and 731.35 is: 1,097.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,922.62 : 4,383.93 = 731.35 : x
  2. Step 2: Convert to fraction form
    2,922.62/4,383.93 = 731.35/x
  3. Step 3: Cross multiply
    2,922.62x = 4,383.93 × 731.35
  4. Step 4: Simplify right side
    2,922.62x = 3,206,161.63
  5. Step 5: Solve for x
    x = 3,206,161.63/2,922.62
  6. Step 6: Final answer
    x = 1,097.02

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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.