Home / 2,170.19-3,255.80-709.34

Finding the Fourth Proportional to 2,170.19, 3,255.80 and 709.34

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Solution

The fourth proportional to 2,170.19, 3,255.80 and 709.34 is: 1,064.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.19 : 3,255.80 = 709.34 : x
  2. Step 2: Convert to fraction form
    2,170.19/3,255.80 = 709.34/x
  3. Step 3: Cross multiply
    2,170.19x = 3,255.80 × 709.34
  4. Step 4: Simplify right side
    2,170.19x = 2,309,469.17
  5. Step 5: Solve for x
    x = 2,309,469.17/2,170.19
  6. Step 6: Final answer
    x = 1,064.18

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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.