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Finding the Fourth Proportional to 2,299.34, 3,449.52 and 838.49

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Solution

The fourth proportional to 2,299.34, 3,449.52 and 838.49 is: 1,257.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299.34 : 3,449.52 = 838.49 : x
  2. Step 2: Convert to fraction form
    2,299.34/3,449.52 = 838.49/x
  3. Step 3: Cross multiply
    2,299.34x = 3,449.52 × 838.49
  4. Step 4: Simplify right side
    2,299.34x = 2,892,394.43
  5. Step 5: Solve for x
    x = 2,892,394.43/2,299.34
  6. Step 6: Final answer
    x = 1,257.92

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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.