Home / 2,228.20-3,342.54-767.18

Finding the Fourth Proportional to 2,228.20, 3,342.54 and 767.18

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Solution

The fourth proportional to 2,228.20, 3,342.54 and 767.18 is: 1,150.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,228.20 : 3,342.54 = 767.18 : x
  2. Step 2: Convert to fraction form
    2,228.20/3,342.54 = 767.18/x
  3. Step 3: Cross multiply
    2,228.20x = 3,342.54 × 767.18
  4. Step 4: Simplify right side
    2,228.20x = 2,564,329.84
  5. Step 5: Solve for x
    x = 2,564,329.84/2,228.20
  6. Step 6: Final answer
    x = 1,150.85

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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.