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Finding the Fourth Proportional to 18,821.64, 28,231.65 and 7,728.96

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Solution

The fourth proportional to 18,821.64, 28,231.65 and 7,728.96 is: 11,593.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,821.64 : 28,231.65 = 7,728.96 : x
  2. Step 2: Convert to fraction form
    18,821.64/28,231.65 = 7,728.96/x
  3. Step 3: Cross multiply
    18,821.64x = 28,231.65 × 7,728.96
  4. Step 4: Simplify right side
    18,821.64x = 218,201,293.58
  5. Step 5: Solve for x
    x = 218,201,293.58/18,821.64
  6. Step 6: Final answer
    x = 11,593.11

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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.