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Finding the Fourth Proportional to 2,489.37, 3,732.48 and 822.90

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Solution

The fourth proportional to 2,489.37, 3,732.48 and 822.90 is: 1,233.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,489.37 : 3,732.48 = 822.90 : x
  2. Step 2: Convert to fraction form
    2,489.37/3,732.48 = 822.90/x
  3. Step 3: Cross multiply
    2,489.37x = 3,732.48 × 822.90
  4. Step 4: Simplify right side
    2,489.37x = 3,071,457.79
  5. Step 5: Solve for x
    x = 3,071,457.79/2,489.37
  6. Step 6: Final answer
    x = 1,233.83

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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.