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Finding the Fourth Proportional to 6,109.85, 8,431.78 and 3,591.50

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Solution

The fourth proportional to 6,109.85, 8,431.78 and 3,591.50 is: 4,956.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,109.85 : 8,431.78 = 3,591.50 : x
  2. Step 2: Convert to fraction form
    6,109.85/8,431.78 = 3,591.50/x
  3. Step 3: Cross multiply
    6,109.85x = 8,431.78 × 3,591.50
  4. Step 4: Simplify right side
    6,109.85x = 30,282,717.18
  5. Step 5: Solve for x
    x = 30,282,717.18/6,109.85
  6. Step 6: Final answer
    x = 4,956.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.