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Finding the Fourth Proportional to 3,722.73, 5,582.79 and 1,089.51

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Solution

The fourth proportional to 3,722.73, 5,582.79 and 1,089.51 is: 1,633.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,722.73 : 5,582.79 = 1,089.51 : x
  2. Step 2: Convert to fraction form
    3,722.73/5,582.79 = 1,089.51/x
  3. Step 3: Cross multiply
    3,722.73x = 5,582.79 × 1,089.51
  4. Step 4: Simplify right side
    3,722.73x = 6,082,505.53
  5. Step 5: Solve for x
    x = 6,082,505.53/3,722.73
  6. Step 6: Final answer
    x = 1,633.88

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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.