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Finding the Fourth Proportional to 3,383.54, 5,073.20 and 1,900.42

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Solution

The fourth proportional to 3,383.54, 5,073.20 and 1,900.42 is: 2,849.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,383.54 : 5,073.20 = 1,900.42 : x
  2. Step 2: Convert to fraction form
    3,383.54/5,073.20 = 1,900.42/x
  3. Step 3: Cross multiply
    3,383.54x = 5,073.20 × 1,900.42
  4. Step 4: Simplify right side
    3,383.54x = 9,641,210.74
  5. Step 5: Solve for x
    x = 9,641,210.74/3,383.54
  6. Step 6: Final answer
    x = 2,849.44

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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.