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Finding the Fourth Proportional to 1,611.27, 2,209.07 and 1,582.11

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Solution

The fourth proportional to 1,611.27, 2,209.07 and 1,582.11 is: 2,169.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,611.27 : 2,209.07 = 1,582.11 : x
  2. Step 2: Convert to fraction form
    1,611.27/2,209.07 = 1,582.11/x
  3. Step 3: Cross multiply
    1,611.27x = 2,209.07 × 1,582.11
  4. Step 4: Simplify right side
    1,611.27x = 3,494,995.69
  5. Step 5: Solve for x
    x = 3,494,995.69/1,611.27
  6. Step 6: Final answer
    x = 2,169.09

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.