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Finding the Fourth Proportional to 8,821.25, 13,231.88 and 3,957.25

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Solution

The fourth proportional to 8,821.25, 13,231.88 and 3,957.25 is: 5,935.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,821.25 : 13,231.88 = 3,957.25 : x
  2. Step 2: Convert to fraction form
    8,821.25/13,231.88 = 3,957.25/x
  3. Step 3: Cross multiply
    8,821.25x = 13,231.88 × 3,957.25
  4. Step 4: Simplify right side
    8,821.25x = 52,361,857.13
  5. Step 5: Solve for x
    x = 52,361,857.13/8,821.25
  6. Step 6: Final answer
    x = 5,935.88

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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.