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Finding the Fourth Proportional to 3,882.41, 5,823.91 and 1,285.34

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Solution

The fourth proportional to 3,882.41, 5,823.91 and 1,285.34 is: 1,928.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882.41 : 5,823.91 = 1,285.34 : x
  2. Step 2: Convert to fraction form
    3,882.41/5,823.91 = 1,285.34/x
  3. Step 3: Cross multiply
    3,882.41x = 5,823.91 × 1,285.34
  4. Step 4: Simplify right side
    3,882.41x = 7,485,704.48
  5. Step 5: Solve for x
    x = 7,485,704.48/3,882.41
  6. Step 6: Final answer
    x = 1,928.11

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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.