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Finding the Fourth Proportional to 3,418.99, 5,129.78 and 1,340.48

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Solution

The fourth proportional to 3,418.99, 5,129.78 and 1,340.48 is: 2,011.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,418.99 : 5,129.78 = 1,340.48 : x
  2. Step 2: Convert to fraction form
    3,418.99/5,129.78 = 1,340.48/x
  3. Step 3: Cross multiply
    3,418.99x = 5,129.78 × 1,340.48
  4. Step 4: Simplify right side
    3,418.99x = 6,876,367.49
  5. Step 5: Solve for x
    x = 6,876,367.49/3,418.99
  6. Step 6: Final answer
    x = 2,011.23

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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.