Home / 2,170.28-3,255.36-709.52

Finding the Fourth Proportional to 2,170.28, 3,255.36 and 709.52

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Solution

The fourth proportional to 2,170.28, 3,255.36 and 709.52 is: 1,064.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.28 : 3,255.36 = 709.52 : x
  2. Step 2: Convert to fraction form
    2,170.28/3,255.36 = 709.52/x
  3. Step 3: Cross multiply
    2,170.28x = 3,255.36 × 709.52
  4. Step 4: Simplify right side
    2,170.28x = 2,309,743.03
  5. Step 5: Solve for x
    x = 2,309,743.03/2,170.28
  6. Step 6: Final answer
    x = 1,064.26

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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.