Home / 2,152.37-3,228.26-765.33

Finding the Fourth Proportional to 2,152.37, 3,228.26 and 765.33

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Solution

The fourth proportional to 2,152.37, 3,228.26 and 765.33 is: 1,147.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.37 : 3,228.26 = 765.33 : x
  2. Step 2: Convert to fraction form
    2,152.37/3,228.26 = 765.33/x
  3. Step 3: Cross multiply
    2,152.37x = 3,228.26 × 765.33
  4. Step 4: Simplify right side
    2,152.37x = 2,470,680.40
  5. Step 5: Solve for x
    x = 2,470,680.40/2,152.37
  6. Step 6: Final answer
    x = 1,147.89

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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.