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Finding the Fourth Proportional to 3,881.46, 5,819.68 and 1,661.74

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Solution

The fourth proportional to 3,881.46, 5,819.68 and 1,661.74 is: 2,491.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,881.46 : 5,819.68 = 1,661.74 : x
  2. Step 2: Convert to fraction form
    3,881.46/5,819.68 = 1,661.74/x
  3. Step 3: Cross multiply
    3,881.46x = 5,819.68 × 1,661.74
  4. Step 4: Simplify right side
    3,881.46x = 9,670,795.04
  5. Step 5: Solve for x
    x = 9,670,795.04/3,881.46
  6. Step 6: Final answer
    x = 2,491.54

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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.