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Finding the Fourth Proportional to 3,234, 4,463.49 and 2,446.68

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Solution

The fourth proportional to 3,234, 4,463.49 and 2,446.68 is: 3,376.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,234 : 4,463.49 = 2,446.68 : x
  2. Step 2: Convert to fraction form
    3,234/4,463.49 = 2,446.68/x
  3. Step 3: Cross multiply
    3,234x = 4,463.49 × 2,446.68
  4. Step 4: Simplify right side
    3,234x = 10,920,731.71
  5. Step 5: Solve for x
    x = 10,920,731.71/3,234
  6. Step 6: Final answer
    x = 3,376.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.