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Finding the Fourth Proportional to 3,834.54, 5,750.39 and 3,809.90

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Solution

The fourth proportional to 3,834.54, 5,750.39 and 3,809.90 is: 5,713.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834.54 : 5,750.39 = 3,809.90 : x
  2. Step 2: Convert to fraction form
    3,834.54/5,750.39 = 3,809.90/x
  3. Step 3: Cross multiply
    3,834.54x = 5,750.39 × 3,809.90
  4. Step 4: Simplify right side
    3,834.54x = 21,908,434.76
  5. Step 5: Solve for x
    x = 21,908,434.76/3,834.54
  6. Step 6: Final answer
    x = 5,713.45

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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.