Home / 2,152.04-3,226.91-765.32

Finding the Fourth Proportional to 2,152.04, 3,226.91 and 765.32

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Solution

The fourth proportional to 2,152.04, 3,226.91 and 765.32 is: 1,147.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.04 : 3,226.91 = 765.32 : x
  2. Step 2: Convert to fraction form
    2,152.04/3,226.91 = 765.32/x
  3. Step 3: Cross multiply
    2,152.04x = 3,226.91 × 765.32
  4. Step 4: Simplify right side
    2,152.04x = 2,469,598.80
  5. Step 5: Solve for x
    x = 2,469,598.80/2,152.04
  6. Step 6: Final answer
    x = 1,147.56

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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.