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Finding the Fourth Proportional to 3,406.62, 5,109.54 and 1,066.80

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Solution

The fourth proportional to 3,406.62, 5,109.54 and 1,066.80 is: 1,600.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.62 : 5,109.54 = 1,066.80 : x
  2. Step 2: Convert to fraction form
    3,406.62/5,109.54 = 1,066.80/x
  3. Step 3: Cross multiply
    3,406.62x = 5,109.54 × 1,066.80
  4. Step 4: Simplify right side
    3,406.62x = 5,450,857.27
  5. Step 5: Solve for x
    x = 5,450,857.27/3,406.62
  6. Step 6: Final answer
    x = 1,600.08

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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.