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Finding the Fourth Proportional to 3,468.42, 5,201.09 and 1,620.09

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Solution

The fourth proportional to 3,468.42, 5,201.09 and 1,620.09 is: 2,429.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,468.42 : 5,201.09 = 1,620.09 : x
  2. Step 2: Convert to fraction form
    3,468.42/5,201.09 = 1,620.09/x
  3. Step 3: Cross multiply
    3,468.42x = 5,201.09 × 1,620.09
  4. Step 4: Simplify right side
    3,468.42x = 8,426,225.80
  5. Step 5: Solve for x
    x = 8,426,225.80/3,468.42
  6. Step 6: Final answer
    x = 2,429.41

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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.