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Finding the Fourth Proportional to 3,881, 5,819.52 and 1,283

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Solution

The fourth proportional to 3,881, 5,819.52 and 1,283 is: 1,923.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,881 : 5,819.52 = 1,283 : x
  2. Step 2: Convert to fraction form
    3,881/5,819.52 = 1,283/x
  3. Step 3: Cross multiply
    3,881x = 5,819.52 × 1,283
  4. Step 4: Simplify right side
    3,881x = 7,466,444.16
  5. Step 5: Solve for x
    x = 7,466,444.16/3,881
  6. Step 6: Final answer
    x = 1,923.85

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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.