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Finding the Fourth Proportional to 3,470.46, 5,208 and 3,239.81

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Solution

The fourth proportional to 3,470.46, 5,208 and 3,239.81 is: 4,861.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.46 : 5,208 = 3,239.81 : x
  2. Step 2: Convert to fraction form
    3,470.46/5,208 = 3,239.81/x
  3. Step 3: Cross multiply
    3,470.46x = 5,208 × 3,239.81
  4. Step 4: Simplify right side
    3,470.46x = 16,872,904.44
  5. Step 5: Solve for x
    x = 16,872,904.44/3,470.46
  6. Step 6: Final answer
    x = 4,861.86

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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.