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Finding the Fourth Proportional to 2,171.09, 3,255.89 and 709.88

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Solution

The fourth proportional to 2,171.09, 3,255.89 and 709.88 is: 1,064.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171.09 : 3,255.89 = 709.88 : x
  2. Step 2: Convert to fraction form
    2,171.09/3,255.89 = 709.88/x
  3. Step 3: Cross multiply
    2,171.09x = 3,255.89 × 709.88
  4. Step 4: Simplify right side
    2,171.09x = 2,311,271.36
  5. Step 5: Solve for x
    x = 2,311,271.36/2,171.09
  6. Step 6: Final answer
    x = 1,064.57

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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.