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Finding the Fourth Proportional to 3,711.99, 5,121.30 and 2,649.96

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Solution

The fourth proportional to 3,711.99, 5,121.30 and 2,649.96 is: 3,656.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,711.99 : 5,121.30 = 2,649.96 : x
  2. Step 2: Convert to fraction form
    3,711.99/5,121.30 = 2,649.96/x
  3. Step 3: Cross multiply
    3,711.99x = 5,121.30 × 2,649.96
  4. Step 4: Simplify right side
    3,711.99x = 13,571,240.15
  5. Step 5: Solve for x
    x = 13,571,240.15/3,711.99
  6. Step 6: Final answer
    x = 3,656.06

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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.