Home / 2,174.10-3,260.82-713.28

Finding the Fourth Proportional to 2,174.10, 3,260.82 and 713.28

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Solution

The fourth proportional to 2,174.10, 3,260.82 and 713.28 is: 1,069.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.10 : 3,260.82 = 713.28 : x
  2. Step 2: Convert to fraction form
    2,174.10/3,260.82 = 713.28/x
  3. Step 3: Cross multiply
    2,174.10x = 3,260.82 × 713.28
  4. Step 4: Simplify right side
    2,174.10x = 2,325,877.69
  5. Step 5: Solve for x
    x = 2,325,877.69/2,174.10
  6. Step 6: Final answer
    x = 1,069.81

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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.