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Finding the Fourth Proportional to 3,911.55, 5,867.90 and 1,137.86

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Solution

The fourth proportional to 3,911.55, 5,867.90 and 1,137.86 is: 1,706.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,911.55 : 5,867.90 = 1,137.86 : x
  2. Step 2: Convert to fraction form
    3,911.55/5,867.90 = 1,137.86/x
  3. Step 3: Cross multiply
    3,911.55x = 5,867.90 × 1,137.86
  4. Step 4: Simplify right side
    3,911.55x = 6,676,872.94
  5. Step 5: Solve for x
    x = 6,676,872.94/3,911.55
  6. Step 6: Final answer
    x = 1,706.96

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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.