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Finding the Fourth Proportional to 3,911.85, 5,867.78 and 1,138.41

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Solution

The fourth proportional to 3,911.85, 5,867.78 and 1,138.41 is: 1,707.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,911.85 : 5,867.78 = 1,138.41 : x
  2. Step 2: Convert to fraction form
    3,911.85/5,867.78 = 1,138.41/x
  3. Step 3: Cross multiply
    3,911.85x = 5,867.78 × 1,138.41
  4. Step 4: Simplify right side
    3,911.85x = 6,679,933.74
  5. Step 5: Solve for x
    x = 6,679,933.74/3,911.85
  6. Step 6: Final answer
    x = 1,707.62

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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.