Home / 2,174.92-3,261.30-788.20

Finding the Fourth Proportional to 2,174.92, 3,261.30 and 788.20

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Solution

The fourth proportional to 2,174.92, 3,261.30 and 788.20 is: 1,181.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.92 : 3,261.30 = 788.20 : x
  2. Step 2: Convert to fraction form
    2,174.92/3,261.30 = 788.20/x
  3. Step 3: Cross multiply
    2,174.92x = 3,261.30 × 788.20
  4. Step 4: Simplify right side
    2,174.92x = 2,570,556.66
  5. Step 5: Solve for x
    x = 2,570,556.66/2,174.92
  6. Step 6: Final answer
    x = 1,181.91

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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.