Home / 5,206.41-7,811.64-2,743.20

Finding the Fourth Proportional to 5,206.41, 7,811.64 and 2,743.20

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Solution

The fourth proportional to 5,206.41, 7,811.64 and 2,743.20 is: 4,115.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206.41 : 7,811.64 = 2,743.20 : x
  2. Step 2: Convert to fraction form
    5,206.41/7,811.64 = 2,743.20/x
  3. Step 3: Cross multiply
    5,206.41x = 7,811.64 × 2,743.20
  4. Step 4: Simplify right side
    5,206.41x = 21,428,890.85
  5. Step 5: Solve for x
    x = 21,428,890.85/5,206.41
  6. Step 6: Final answer
    x = 4,115.87

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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.