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Finding the Fourth Proportional to 3,881.19, 5,819.90 and 1,283.25

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Solution

The fourth proportional to 3,881.19, 5,819.90 and 1,283.25 is: 1,924.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,881.19 : 5,819.90 = 1,283.25 : x
  2. Step 2: Convert to fraction form
    3,881.19/5,819.90 = 1,283.25/x
  3. Step 3: Cross multiply
    3,881.19x = 5,819.90 × 1,283.25
  4. Step 4: Simplify right side
    3,881.19x = 7,468,380.26
  5. Step 5: Solve for x
    x = 7,468,380.26/3,881.19
  6. Step 6: Final answer
    x = 1,924.25

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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.