Home / 7,760.48-11,636.76-3,812

Finding the Fourth Proportional to 7,760.48, 11,636.76 and 3,812

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Solution

The fourth proportional to 7,760.48, 11,636.76 and 3,812 is: 5,716.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,760.48 : 11,636.76 = 3,812 : x
  2. Step 2: Convert to fraction form
    7,760.48/11,636.76 = 3,812/x
  3. Step 3: Cross multiply
    7,760.48x = 11,636.76 × 3,812
  4. Step 4: Simplify right side
    7,760.48x = 44,359,329.12
  5. Step 5: Solve for x
    x = 44,359,329.12/7,760.48
  6. Step 6: Final answer
    x = 5,716.05

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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.