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Finding the Fourth Proportional to 3,418, 5,122.20 and 1,662.28

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Solution

The fourth proportional to 3,418, 5,122.20 and 1,662.28 is: 2,491.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,418 : 5,122.20 = 1,662.28 : x
  2. Step 2: Convert to fraction form
    3,418/5,122.20 = 1,662.28/x
  3. Step 3: Cross multiply
    3,418x = 5,122.20 × 1,662.28
  4. Step 4: Simplify right side
    3,418x = 8,514,530.62
  5. Step 5: Solve for x
    x = 8,514,530.62/3,418
  6. Step 6: Final answer
    x = 2,491.09

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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.