Home / 3,813-5,719.50-1,216.14

Finding the Fourth Proportional to 3,813, 5,719.50 and 1,216.14

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Solution

The fourth proportional to 3,813, 5,719.50 and 1,216.14 is: 1,824.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,813 : 5,719.50 = 1,216.14 : x
  2. Step 2: Convert to fraction form
    3,813/5,719.50 = 1,216.14/x
  3. Step 3: Cross multiply
    3,813x = 5,719.50 × 1,216.14
  4. Step 4: Simplify right side
    3,813x = 6,955,712.73
  5. Step 5: Solve for x
    x = 6,955,712.73/3,813
  6. Step 6: Final answer
    x = 1,824.21

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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.