Home / 2,174.19-3,261.75-713.29

Finding the Fourth Proportional to 2,174.19, 3,261.75 and 713.29

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Solution

The fourth proportional to 2,174.19, 3,261.75 and 713.29 is: 1,070.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.19 : 3,261.75 = 713.29 : x
  2. Step 2: Convert to fraction form
    2,174.19/3,261.75 = 713.29/x
  3. Step 3: Cross multiply
    2,174.19x = 3,261.75 × 713.29
  4. Step 4: Simplify right side
    2,174.19x = 2,326,559.13
  5. Step 5: Solve for x
    x = 2,326,559.13/2,174.19
  6. Step 6: Final answer
    x = 1,070.08

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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.