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Finding the Fourth Proportional to 7,756.75, 11,635.13 and 3,139.75

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Solution

The fourth proportional to 7,756.75, 11,635.13 and 3,139.75 is: 4,709.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,756.75 : 11,635.13 = 3,139.75 : x
  2. Step 2: Convert to fraction form
    7,756.75/11,635.13 = 3,139.75/x
  3. Step 3: Cross multiply
    7,756.75x = 11,635.13 × 3,139.75
  4. Step 4: Simplify right side
    7,756.75x = 36,531,399.42
  5. Step 5: Solve for x
    x = 36,531,399.42/7,756.75
  6. Step 6: Final answer
    x = 4,709.63

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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.