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Finding the Fourth Proportional to 2,343.74, 3,234.50 and 1,349.12

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Solution

The fourth proportional to 2,343.74, 3,234.50 and 1,349.12 is: 1,861.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,343.74 : 3,234.50 = 1,349.12 : x
  2. Step 2: Convert to fraction form
    2,343.74/3,234.50 = 1,349.12/x
  3. Step 3: Cross multiply
    2,343.74x = 3,234.50 × 1,349.12
  4. Step 4: Simplify right side
    2,343.74x = 4,363,705.72
  5. Step 5: Solve for x
    x = 4,363,705.72/2,343.74
  6. Step 6: Final answer
    x = 1,861.86

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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.