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Finding the Fourth Proportional to 3,043.25, 4,564.90 and 963.21

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Solution

The fourth proportional to 3,043.25, 4,564.90 and 963.21 is: 1,444.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,043.25 : 4,564.90 = 963.21 : x
  2. Step 2: Convert to fraction form
    3,043.25/4,564.90 = 963.21/x
  3. Step 3: Cross multiply
    3,043.25x = 4,564.90 × 963.21
  4. Step 4: Simplify right side
    3,043.25x = 4,396,957.33
  5. Step 5: Solve for x
    x = 4,396,957.33/3,043.25
  6. Step 6: Final answer
    x = 1,444.83

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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.