Home / 2,152.11-3,228.25-765.44

Finding the Fourth Proportional to 2,152.11, 3,228.25 and 765.44

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Solution

The fourth proportional to 2,152.11, 3,228.25 and 765.44 is: 1,148.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.11 : 3,228.25 = 765.44 : x
  2. Step 2: Convert to fraction form
    2,152.11/3,228.25 = 765.44/x
  3. Step 3: Cross multiply
    2,152.11x = 3,228.25 × 765.44
  4. Step 4: Simplify right side
    2,152.11x = 2,471,031.68
  5. Step 5: Solve for x
    x = 2,471,031.68/2,152.11
  6. Step 6: Final answer
    x = 1,148.19

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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.